42406880256 has 528 divisors, whose sum is σ = 142917675264. Its totient is φ = 11992301568.

The previous prime is 42406880227. The next prime is 42406880267. The reversal of 42406880256 is 65208860424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95726371 + ... + 95726813.

Almost surely, 2^42406880256 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 42406880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71458837632).

42406880256 is an abundant number, since it is smaller than the sum of its proper divisors (100510795008).

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

42406880256 is a wasteful number, since it uses less digits than its factorization.

42406880256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42406880256 in words is "forty-two billion, four hundred six million, eight hundred eighty thousand, two hundred fifty-six".