256417158240 has 72 divisors (see below), whose sum is σ = 875023557408. Its totient is φ = 68377908480.

The previous prime is 256417158209. The next prime is 256417158281. The reversal of 256417158240 is 42851714652.

256417158240 is a `hidden beast` number, since 2 + 5 + 64 + 1 + 7 + 1 + 582 + 4 + 0 = 666.

256417158240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89032296 + ... + 89035175.

It is an arithmetic number, because the mean of its divisors is an integer number (12153104964).

Almost surely, 2^256417158240 is an apocalyptic number.

256417158240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256417158240 is an abundant number, since it is smaller than the sum of its proper divisors (618606399168).

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

256417158240 is a wasteful number, since it uses less digits than its factorization.

256417158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178067492 (or 178067481 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 256417158240 in words is "two hundred fifty-six billion, four hundred seventeen million, one hundred fifty-eight thousand, two hundred forty".