256381614720 has 960 divisors, whose sum is σ = 1150353388800. Its totient is φ = 53264977920.

The previous prime is 256381614679. The next prime is 256381614737. The reversal of 256381614720 is 27416183652.

256381614720 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 8 + 1 + 614 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43905561 + ... + 43911399.

It is an arithmetic number, because the mean of its divisors is an integer number (1198284780).

Almost surely, 2^256381614720 is an apocalyptic number.

256381614720 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 256381614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575176694400).

256381614720 is an abundant number, since it is smaller than the sum of its proper divisors (893971774080).

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

256381614720 is a wasteful number, since it uses less digits than its factorization.

256381614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 256381614720 in words is "two hundred fifty-six billion, three hundred eighty-one million, six hundred fourteen thousand, seven hundred twenty".