256997641401 has 16 divisors (see below), whose sum is σ = 380749089600. Its totient is φ = 171326431584.

The previous prime is 256997641399. The next prime is 256997641507. The reversal of 256997641401 is 104146799652.

256997641401 is a `hidden beast` number, since 2 + 569 + 9 + 7 + 64 + 14 + 0 + 1 = 666.

It is not a de Polignac number, because 256997641401 - 2¹ = 256997641399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256997641001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861130 + ... + 1120508.

It is an arithmetic number, because the mean of its divisors is an integer number (23796818100).

Almost surely, 2^256997641401 is an apocalyptic number.

It is an amenable number.

256997641401 is a deficient number, since it is larger than the sum of its proper divisors (123751448199).

256997641401 is a wasteful number, since it uses less digits than its factorization.

256997641401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296085 (or 296079 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 256997641401 in words is "two hundred fifty-six billion, nine hundred ninety-seven million, six hundred forty-one thousand, four hundred one".