256299296040 has 640 divisors, whose sum is σ = 914927270400. Its totient is φ = 64255887360.

The previous prime is 256299295999. The next prime is 256299296041. The reversal of 256299296040 is 40692992652.

It is a happy number.

256299296040 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 9 + 9 + 29 + 604 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (256299296041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 687129294 + ... + 687129666.

It is an arithmetic number, because the mean of its divisors is an integer number (1429573860).

Almost surely, 2^256299296040 is an apocalyptic number.

256299296040 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 256299296040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457463635200).

256299296040 is an abundant number, since it is smaller than the sum of its proper divisors (658627974360).

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

256299296040 is a wasteful number, since it uses less digits than its factorization.

256299296040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 256299296040 in words is "two hundred fifty-six billion, two hundred ninety-nine million, two hundred ninety-six thousand, forty".