21220116402240 has 896 divisors, whose sum is σ = 87931356979200. Its totient is φ = 4715734671360.

The previous prime is 21220116402239. The next prime is 21220116402241. The reversal of 21220116402240 is 4220461102212.

It is a happy number.

21220116402240 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 1 + 16 + 402 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (21220116402239) and next prime (21220116402241).

It is a super-3 number, since 3×21220116402240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21220116402241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4097335971 + ... + 4097341149.

It is an arithmetic number, because the mean of its divisors is an integer number (98137675200).

Almost surely, 2^{21220116402240} is an apocalyptic number.

21220116402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220116402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43965678489600).

21220116402240 is an abundant number, since it is smaller than the sum of its proper divisors (66711240576960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220116402240 is a wasteful number, since it uses less digits than its factorization.

21220116402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21220116402240 its reverse (4220461102212), we get a palindrome (25440577504452).

The spelling of 21220116402240 in words is "twenty-one trillion, two hundred twenty billion, one hundred sixteen million, four hundred two thousand, two hundred forty".