256416265440 has 384 divisors, whose sum is σ = 938692177920. Its totient is φ = 65250054144.

The previous prime is 256416265439. The next prime is 256416265447. The reversal of 256416265440 is 44562614652.

256416265440 is a `hidden beast` number, since 2 + 5 + 6 + 41 + 62 + 6 + 544 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256416265447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45404697 + ... + 45410343.

It is an arithmetic number, because the mean of its divisors is an integer number (2444510880).

Almost surely, 2^256416265440 is an apocalyptic number.

256416265440 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 256416265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469346088960).

256416265440 is an abundant number, since it is smaller than the sum of its proper divisors (682275912480).

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

256416265440 is a wasteful number, since it uses less digits than its factorization.

256416265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 256416265440 in words is "two hundred fifty-six billion, four hundred sixteen million, two hundred sixty-five thousand, four hundred forty".