10404285264 has 120 divisors (see below), whose sum is σ = 29337497280. Its totient is φ = 3442023936.

The previous prime is 10404285239. The next prime is 10404285319. The reversal of 10404285264 is 46258240401.

10404285264 is a `hidden beast` number, since 104 + 0 + 4 + 28 + 526 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16180527 + ... + 16181169.

It is an arithmetic number, because the mean of its divisors is an integer number (244479144).

Almost surely, 2^10404285264 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 10404285264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668748640).

10404285264 is an abundant number, since it is smaller than the sum of its proper divisors (18933212016).

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

10404285264 is a wasteful number, since it uses less digits than its factorization.

10404285264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10404285264 in words is "ten billion, four hundred four million, two hundred eighty-five thousand, two hundred sixty-four".