256630277434000 has 160 divisors (see below), whose sum is σ = 621959996226816. Its totient is φ = 102415955993600.

The previous prime is 256630277433839. The next prime is 256630277434001. The reversal of 256630277434000 is 434772036652.

It is not an unprimeable number, because it can be changed into a prime (256630277434001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7076899869 + ... + 7076936131.

Almost surely, 2^{256630277434000} is an apocalyptic number.

256630277434000 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 256630277434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310979998113408).

256630277434000 is an abundant number, since it is smaller than the sum of its proper divisors (365329718792816).

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

256630277434000 is a wasteful number, since it uses less digits than its factorization.

256630277434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44330 (or 44314 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 256630277434000 in words is "two hundred fifty-six trillion, six hundred thirty billion, two hundred seventy-seven million, four hundred thirty-four thousand".