256276258839040 has 480 divisors, whose sum is σ = 729068907853440. Its totient is φ = 86065720688640.

The previous prime is 256276258838959. The next prime is 256276258839047. The reversal of 256276258839040 is 40938852672652.

256276258839040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256276258839047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205989727 + ... + 207230113.

It is an arithmetic number, because the mean of its divisors is an integer number (1518893558028).

Almost surely, 2^{256276258839040} is an apocalyptic number.

256276258839040 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 256276258839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364534453926720).

256276258839040 is an abundant number, since it is smaller than the sum of its proper divisors (472792649014400).

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

256276258839040 is a wasteful number, since it uses less digits than its factorization.

256276258839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240484 (or 1240457 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 67.

The spelling of 256276258839040 in words is "two hundred fifty-six trillion, two hundred seventy-six billion, two hundred fifty-eight million, eight hundred thirty-nine thousand, forty".