256417030747200 has 84 divisors (see below), whose sum is σ = 841261541725520. Its totient is φ = 68377874864640.

The previous prime is 256417030747133. The next prime is 256417030747211. The reversal of 256417030747200 is 2747030714652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256417030747200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26710102570 + ... + 26710112169.

Almost surely, 2^{256417030747200} is an apocalyptic number.

256417030747200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256417030747200 is an abundant number, since it is smaller than the sum of its proper divisors (584844510978320).

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

256417030747200 is a wasteful number, since it uses less digits than its factorization.

256417030747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53420214764 (or 53420214749 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 256417030747200 in words is "two hundred fifty-six trillion, four hundred seventeen billion, thirty million, seven hundred forty-seven thousand, two hundred".