256245913440 has 144 divisors (see below), whose sum is σ = 953933709456. Its totient is φ = 62120217600.

The previous prime is 256245913397. The next prime is 256245913481. The reversal of 256245913440 is 44319542652.

256245913440 is a `hidden beast` number, since 2 + 5 + 6 + 24 + 591 + 34 + 4 + 0 = 666.

256245913440 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 (144).

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 23 ways as a sum of consecutive naturals, for example, 8072731 + ... + 8104410.

It is an arithmetic number, because the mean of its divisors is an integer number (6624539649).

Almost surely, 2^256245913440 is an apocalyptic number.

256245913440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256245913440 is an abundant number, since it is smaller than the sum of its proper divisors (697687796016).

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

256245913440 is a wasteful number, since it uses less digits than its factorization.

256245913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16177173 (or 16177162 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 256245 and 913440, that added together give a triangular number (1169685 = T₁₅₂₉).

The spelling of 256245913440 in words is "two hundred fifty-six billion, two hundred forty-five million, nine hundred thirteen thousand, four hundred forty".