42524080704 has 448 divisors, whose sum is σ = 152109342720. Its totient is φ = 11372175360.

The previous prime is 42524080681. The next prime is 42524080751. The reversal of 42524080704 is 40708042524.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46678009 + ... + 46678919.

Almost surely, 2^42524080704 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 42524080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76054671360).

42524080704 is an abundant number, since it is smaller than the sum of its proper divisors (109585262016).

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

42524080704 is a wasteful number, since it uses less digits than its factorization.

42524080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 42524080704 in words is "forty-two billion, five hundred twenty-four million, eighty thousand, seven hundred four".