256724684941392 has 320 divisors, whose sum is σ = 811222326662400. Its totient is φ = 78364285028352.

The previous prime is 256724684941391. The next prime is 256724684941421. The reversal of 256724684941392 is 293149486427652.

256724684941392 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 2 + 46 + 8 + 494 + 1 + 3 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 256724684941392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256724684941391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16177959 + ... + 27841977.

It is an arithmetic number, because the mean of its divisors is an integer number (2535069770820).

Almost surely, 2^{256724684941392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256724684941392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405611163331200).

256724684941392 is an abundant number, since it is smaller than the sum of its proper divisors (554497641721008).

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

256724684941392 is a wasteful number, since it uses less digits than its factorization.

256724684941392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664102 (or 11664078 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 256724684941392 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, six hundred eighty-four million, nine hundred forty-one thousand, three hundred ninety-two".