256971299964480 has 1344 divisors, whose sum is σ = 1019387055456000. Its totient is φ = 60821905342464.

The previous prime is 256971299964469. The next prime is 256971299964569. The reversal of 256971299964480 is 84469992179652.

256971299964480 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 7 + 129 + 9 + 9 + 6 + 4 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256971299964480.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3113667856 + ... + 3113750384.

It is an arithmetic number, because the mean of its divisors is an integer number (758472511500).

Almost surely, 2^{256971299964480} is an apocalyptic number.

256971299964480 is a gapful number since it is divisible by the number (20) 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 256971299964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509693527728000).

256971299964480 is an abundant number, since it is smaller than the sum of its proper divisors (762415755491520).

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

256971299964480 is a wasteful number, since it uses less digits than its factorization.

256971299964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82661 (or 82628 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 256971299964480 in words is "two hundred fifty-six trillion, nine hundred seventy-one billion, two hundred ninety-nine million, nine hundred sixty-four thousand, four hundred eighty".