42015881456496 has 640 divisors, whose sum is σ = 125079127756800. Its totient is φ = 13499275345920.

The previous prime is 42015881456453. The next prime is 42015881456501. The reversal of 42015881456496 is 69465418851024.

42015881456496 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 5 + 88 + 14 + 56 + 496 = 666.

It is a congruent number.

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, 134236042836 + ... + 134236043148.

It is an arithmetic number, because the mean of its divisors is an integer number (195436137120).

Almost surely, 2^{42015881456496} 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 42015881456496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539563878400).

42015881456496 is an abundant number, since it is smaller than the sum of its proper divisors (83063246300304).

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

42015881456496 is a wasteful number, since it uses less digits than its factorization.

42015881456496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 42015881456496 in words is "forty-two trillion, fifteen billion, eight hundred eighty-one million, four hundred fifty-six thousand, four hundred ninety-six".