256156106114400 has 144 divisors (see below), whose sum is σ = 836023485228624. Its totient is φ = 68125162567680.

The previous prime is 256156106114399. The next prime is 256156106114401. The reversal of 256156106114400 is 4411601651652.

It is an interprime number because it is at equal distance from previous prime (256156106114399) and next prime (256156106114401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256156106114401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142176799 + ... + 143967198.

It is an arithmetic number, because the mean of its divisors is an integer number (5805718647421).

Almost surely, 2^{256156106114400} is an apocalyptic number.

256156106114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256156106114400 is an abundant number, since it is smaller than the sum of its proper divisors (579867379114224).

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

256156106114400 is a wasteful number, since it uses less digits than its factorization.

256156106114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286144393 (or 286144380 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 256156106114400 in words is "two hundred fifty-six trillion, one hundred fifty-six billion, one hundred six million, one hundred fourteen thousand, four hundred".