42282464256 has 264 divisors, whose sum is σ = 125817446664. Its totient is φ = 13668188160.

The previous prime is 42282464239. The next prime is 42282464267. The reversal of 42282464256 is 65246428224.

It can be written as a sum of positive squares in 4 ways, for example, as 1833209856 + 40449254400 = 42816^2 + 201120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119780176 + ... + 119780528.

Almost surely, 2^42282464256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42282464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62908723332).

42282464256 is an abundant number, since it is smaller than the sum of its proper divisors (83534982408).

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

42282464256 is a wasteful number, since it uses less digits than its factorization.

42282464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 716 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 42282464256 in words is "forty-two billion, two hundred eighty-two million, four hundred sixty-four thousand, two hundred fifty-six".