221125386240 has 1120 divisors, whose sum is σ = 887201574336. Its totient is φ = 52234813440.

The previous prime is 221125386239. The next prime is 221125386241. The reversal of 221125386240 is 42683521122.

221125386240 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 25 + 3 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221125386239) and next prime (221125386241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221125386195 and 221125386204.

It is not an unprimeable number, because it can be changed into a prime (221125386241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2664161239 + ... + 2664161321.

Almost surely, 2^221125386240 is an apocalyptic number.

221125386240 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 221125386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443600787168).

221125386240 is an abundant number, since it is smaller than the sum of its proper divisors (666076188096).

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

221125386240 is an equidigital number, since it uses as much as digits as its factorization.

221125386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 221125386240 in words is "two hundred twenty-one billion, one hundred twenty-five million, three hundred eighty-six thousand, two hundred forty".