256724037740321 has 16 divisors (see below), whose sum is σ = 262421038233600. Its totient is φ = 251036910916560.

The previous prime is 256724037740309. The next prime is 256724037740351. The reversal of 256724037740321 is 123047730427652.

256724037740321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256724037740321 is a prime.

It is a super-2 number, since 2×256724037740321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256724037740351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260707730 + ... + 261690596.

It is an arithmetic number, because the mean of its divisors is an integer number (16401314889600).

Almost surely, 2^{256724037740321} is an apocalyptic number.

It is an amenable number.

256724037740321 is a deficient number, since it is larger than the sum of its proper divisors (5697000493279).

256724037740321 is a wasteful number, since it uses less digits than its factorization.

256724037740321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987884.

The product of its (nonzero) digits is 11854080, while the sum is 53.

The spelling of 256724037740321 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, thirty-seven million, seven hundred forty thousand, three hundred twenty-one".