255807901440 has 1440 divisors, whose sum is σ = 1186680337920. Its totient is φ = 51096158208.

The previous prime is 255807901439. The next prime is 255807901471. The reversal of 255807901440 is 44109708552.

255807901440 is a `hidden beast` number, since 2 + 558 + 0 + 7 + 90 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 179262007 + ... + 179263433.

It is an arithmetic number, because the mean of its divisors is an integer number (824083568).

Almost surely, 2^255807901440 is an apocalyptic number.

255807901440 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 255807901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593340168960).

255807901440 is an abundant number, since it is smaller than the sum of its proper divisors (930872436480).

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

255807901440 is a wasteful number, since it uses less digits than its factorization.

255807901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 255807901440 in words is "two hundred fifty-five billion, eight hundred seven million, nine hundred one thousand, four hundred forty".