256135371656340 has 192 divisors, whose sum is σ = 848604182646528. Its totient is φ = 57015481958400.

The previous prime is 256135371656303. The next prime is 256135371656369. The reversal of 256135371656340 is 43656173531652.

256135371656340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256135371656340² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277935889 + ... + 278855928.

It is an arithmetic number, because the mean of its divisors is an integer number (4419813451284).

Almost surely, 2^{256135371656340} is an apocalyptic number.

256135371656340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256135371656340 is an abundant number, since it is smaller than the sum of its proper divisors (592468810990188).

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

256135371656340 is a wasteful number, since it uses less digits than its factorization.

256135371656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556791898 (or 556791896 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 57.

The spelling of 256135371656340 in words is "two hundred fifty-six trillion, one hundred thirty-five billion, three hundred seventy-one million, six hundred fifty-six thousand, three hundred forty".