400656716278272 has 840 divisors, whose sum is σ = 1282109866729692. Its totient is φ = 124995679027200.

The previous prime is 400656716278223. The next prime is 400656716278363. The reversal of 400656716278272 is 272872617656004.

400656716278272 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 567 + 1 + 62 + 7 + 8 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 211733230715136 + 188923485563136 = 14551056^2 + 13744944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19524219372 + ... + 19524239892.

Almost surely, 2^{400656716278272} 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 400656716278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641054933364846).

400656716278272 is an abundant number, since it is smaller than the sum of its proper divisors (881453150451420).

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

400656716278272 is an equidigital number, since it uses as much as digits as its factorization.

400656716278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20772 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 400656716278272 in words is "four hundred trillion, six hundred fifty-six billion, seven hundred sixteen million, two hundred seventy-eight thousand, two hundred seventy-two".