400960544256 has 560 divisors, whose sum is σ = 1316273230800. Its totient is φ = 121398165504.

The previous prime is 400960544249. The next prime is 400960544263. The reversal of 400960544256 is 652445069004.

400960544256 is a `hidden beast` number, since 40 + 0 + 9 + 60 + 544 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (400960544249) and next prime (400960544263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184010175 + ... + 184012353.

Almost surely, 2^400960544256 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 400960544256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658136615400).

400960544256 is an abundant number, since it is smaller than the sum of its proper divisors (915312686544).

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

400960544256 is an equidigital number, since it uses as much as digits as its factorization.

400960544256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 400960544256 in words is "four hundred billion, nine hundred sixty million, five hundred forty-four thousand, two hundred fifty-six".