10440402610464 has 36 divisors (see below), whose sum is σ = 29689894924326. Its totient is φ = 3480134203392.

The previous prime is 10440402610453. The next prime is 10440402610471. The reversal of 10440402610464 is 46401620404401.

10440402610464 is a `hidden beast` number, since 10 + 440 + 40 + 2 + 6 + 104 + 64 = 666.

10440402610464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5829848882064 + 4610553728400 = 2414508^2 + 2147220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18125698689 + ... + 18125699264.

Almost surely, 2^{10440402610464} is an apocalyptic number.

It is an amenable number.

10440402610464 is an abundant number, since it is smaller than the sum of its proper divisors (19249492313862).

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

10440402610464 is a wasteful number, since it uses less digits than its factorization.

10440402610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36251397969 (or 36251397958 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10440402610464 in words is "ten trillion, four hundred forty billion, four hundred two million, six hundred ten thousand, four hundred sixty-four".