10404257370624 has 480 divisors, whose sum is σ = 34282723098624. Its totient is φ = 3014291128320.

The previous prime is 10404257370607. The next prime is 10404257370707. The reversal of 10404257370624 is 42607375240401.

10404257370624 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 2 + 573 + 70 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10404257370624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68634177 + ... + 68785599.

Almost surely, 2^{10404257370624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404257370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141361549312).

10404257370624 is an abundant number, since it is smaller than the sum of its proper divisors (23878465728000).

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

10404257370624 is a wasteful number, since it uses less digits than its factorization.

10404257370624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151528 (or 151509 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 10404257370624 in words is "ten trillion, four hundred four billion, two hundred fifty-seven million, three hundred seventy thousand, six hundred twenty-four".