101440460400256 has 32 divisors (see below), whose sum is σ = 202267415204100. Its totient is φ = 50675305211904.

The previous prime is 101440460400221. The next prime is 101440460400269. The reversal of 101440460400256 is 652004064044101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99604392040000 + 1836068360256 = 9980200^2 + 1355016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350831395 + ... + 351120418.

Almost surely, 2^{101440460400256} is an apocalyptic number.

101440460400256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101440460400256 is a deficient number, since it is larger than the sum of its proper divisors (100826954803844).

101440460400256 is an equidigital number, since it uses as much as digits as its factorization.

101440460400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701952956 (or 701952944 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 101440460400256 in words is "one hundred one trillion, four hundred forty billion, four hundred sixty million, four hundred thousand, two hundred fifty-six".