13038924529440 has 192 divisors, whose sum is σ = 48038143305600. Its totient is φ = 3294044070912.

The previous prime is 13038924529417. The next prime is 13038924529441. The reversal of 13038924529440 is 4492542983031.

It is a happy number.

13038924529440 is a `hidden beast` number, since 1 + 30 + 3 + 89 + 2 + 4 + 529 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13038924529441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79346067 + ... + 79510226.

It is an arithmetic number, because the mean of its divisors is an integer number (250198663050).

Almost surely, 2^{13038924529440} is an apocalyptic number.

13038924529440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13038924529440 is an abundant number, since it is smaller than the sum of its proper divisors (34999218776160).

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

13038924529440 is a wasteful number, since it uses less digits than its factorization.

13038924529440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158856336 (or 158856322 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13038924529440 in words is "thirteen trillion, thirty-eight billion, nine hundred twenty-four million, five hundred twenty-nine thousand, four hundred forty".