400404202024056 has 128 divisors (see below), whose sum is σ = 1053980284032000. Its totient is φ = 126510840608768.

The previous prime is 400404202024049. The next prime is 400404202024087. The reversal of 400404202024056 is 650420202404004.

It is a super-2 number, since 2×400404202024056² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323050525 + ... + 324287603.

It is an arithmetic number, because the mean of its divisors is an integer number (8234220969000).

Almost surely, 2^{400404202024056} is an apocalyptic number.

400404202024056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400404202024056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526990142016000).

400404202024056 is an abundant number, since it is smaller than the sum of its proper divisors (653576082007944).

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

400404202024056 is a wasteful number, since it uses less digits than its factorization.

400404202024056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242413 (or 1242409 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 400404202024056 in words is "four hundred trillion, four hundred four billion, two hundred two million, twenty-four thousand, fifty-six".