13412411022420 has 288 divisors, whose sum is σ = 43878772828800. Its totient is φ = 3303823491072.

The previous prime is 13412411022407. The next prime is 13412411022421. The reversal of 13412411022420 is 2422011421431.

13412411022420 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 411 + 0 + 2 + 242 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412411022421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111694252 + ... + 111814268.

It is an arithmetic number, because the mean of its divisors is an integer number (152356850100).

Almost surely, 2^{13412411022420} is an apocalyptic number.

13412411022420 is a gapful number since it is divisible by the number (10) 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 13412411022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939386414400).

13412411022420 is an abundant number, since it is smaller than the sum of its proper divisors (30466361806380).

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

13412411022420 is a wasteful number, since it uses less digits than its factorization.

13412411022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120727 (or 120722 counting only the distinct ones).

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

Adding to 13412411022420 its reverse (2422011421431), we get a palindrome (15834422443851).

The spelling of 13412411022420 in words is "thirteen trillion, four hundred twelve billion, four hundred eleven million, twenty-two thousand, four hundred twenty".