256015760400 has 315 divisors, whose sum is σ = 923180182311. Its totient is φ = 68198008320.

The previous prime is 256015760393. The next prime is 256015760411. The reversal of 256015760400 is 4067510652.

It is a happy number.

The square root of 256015760400 is 505980.

It is a perfect power (a square), and thus also a powerful number.

256015760400 is a `hidden beast` number, since 2 + 5 + 601 + 5 + 7 + 6 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105186056976 + 150829703424 = 324324^2 + 388368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 273228732 + ... + 273229668.

Almost surely, 2^256015760400 is an apocalyptic number.

256015760400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256015760400 is the 505980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256015760400

256015760400 is an abundant number, since it is smaller than the sum of its proper divisors (667164421911).

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

256015760400 is an frugal number, since it uses more digits than its factorization.

256015760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 256015760400 by its sum of digits (36), we get a square (9216567374400 = 3035880²).

256015760400 divided by its sum of digits (36) gives a square (7111548900 = 84330²).

The spelling of 256015760400 in words is "two hundred fifty-six billion, fifteen million, seven hundred sixty thousand, four hundred".