256395203850240 has 4368 divisors, whose sum is σ = 1207931994940608. Its totient is φ = 50836449263616.

The previous prime is 256395203850179. The next prime is 256395203850293. The reversal of 256395203850240 is 42058302593652.

It is a happy number.

256395203850240 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 95 + 2 + 0 + 3 + 8 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-2 number, since 2×256395203850240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 392641965754 + ... + 392641966406.

Almost surely, 2^{256395203850240} is an apocalyptic number.

256395203850240 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 256395203850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603965997470304).

256395203850240 is an abundant number, since it is smaller than the sum of its proper divisors (951536791090368).

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

256395203850240 is an equidigital number, since it uses as much as digits as its factorization.

256395203850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 256395203850240 in words is "two hundred fifty-six trillion, three hundred ninety-five billion, two hundred three million, eight hundred fifty thousand, two hundred forty".