256444754130 has 96 divisors (see below), whose sum is σ = 671488272000. Its totient is φ = 67900377600.

The previous prime is 256444754107. The next prime is 256444754131. The reversal of 256444754130 is 31457444652.

256444754130 is a `hidden beast` number, since 2 + 5 + 6 + 44 + 475 + 4 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (256444754131) 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, 47548714 + ... + 47554106.

It is an arithmetic number, because the mean of its divisors is an integer number (6994669500).

Almost surely, 2^256444754130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256444754130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335744136000).

256444754130 is an abundant number, since it is smaller than the sum of its proper divisors (415043517870).

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

256444754130 is a wasteful number, since it uses less digits than its factorization.

256444754130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

It can be divided in two parts, 25644 and 4754130, that added together give a palindrome (4779774).

The spelling of 256444754130 in words is "two hundred fifty-six billion, four hundred forty-four million, seven hundred fifty-four thousand, one hundred thirty".