256630307441440 has 192 divisors, whose sum is σ = 638274401114112. Its totient is φ = 97371771494400.

The previous prime is 256630307441437. The next prime is 256630307441441. The reversal of 256630307441440 is 44144703036652.

It is a super-2 number, since 2×256630307441440² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256630307441441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270555844 + ... + 271502716.

It is an arithmetic number, because the mean of its divisors is an integer number (3324345839136).

Almost surely, 2^{256630307441440} is an apocalyptic number.

256630307441440 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 256630307441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319137200557056).

256630307441440 is an abundant number, since it is smaller than the sum of its proper divisors (381644093672672).

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

256630307441440 is a wasteful number, since it uses less digits than its factorization.

256630307441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948003 (or 947995 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 49.

The spelling of 256630307441440 in words is "two hundred fifty-six trillion, six hundred thirty billion, three hundred seven million, four hundred forty-one thousand, four hundred forty".