400406240428656 has 160 divisors (see below), whose sum is σ = 1317058825125888. Its totient is φ = 101788820401920.

The previous prime is 400406240428643. The next prime is 400406240428723. The reversal of 400406240428656 is 656824042604004.

It is a super-2 number, since 2×400406240428656² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400406240428599 and 400406240428608.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1152326520 + ... + 1152673943.

Almost surely, 2^{400406240428656} is an apocalyptic number.

It is an amenable number.

400406240428656 is an abundant number, since it is smaller than the sum of its proper divisors (916652584697232).

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

400406240428656 is a wasteful number, since it uses less digits than its factorization.

400406240428656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305000539 (or 2305000533 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 51.

The spelling of 400406240428656 in words is "four hundred trillion, four hundred six billion, two hundred forty million, four hundred twenty-eight thousand, six hundred fifty-six".