42912507456 has 896 divisors, whose sum is σ = 167137689600. Its totient is φ = 10480803840.

The previous prime is 42912507419. The next prime is 42912507467. The reversal of 42912507456 is 65470521924.

42912507456 is a `hidden beast` number, since 4 + 2 + 91 + 2 + 507 + 4 + 56 = 666.

42912507456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42912507456² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158348601 + ... + 158348871.

It is an arithmetic number, because the mean of its divisors is an integer number (186537600).

Almost surely, 2^42912507456 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 42912507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83568844800).

42912507456 is an abundant number, since it is smaller than the sum of its proper divisors (124225182144).

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

42912507456 is a wasteful number, since it uses less digits than its factorization.

42912507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 42912507456 in words is "forty-two billion, nine hundred twelve million, five hundred seven thousand, four hundred fifty-six".