42539610624 has 480 divisors, whose sum is σ = 140429583360. Its totient is φ = 11187855360.

The previous prime is 42539610577. The next prime is 42539610667. The reversal of 42539610624 is 42601693524.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 237651367 + ... + 237651545.

It is an arithmetic number, because the mean of its divisors is an integer number (292561632).

Almost surely, 2^42539610624 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 42539610624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70214791680).

42539610624 is an abundant number, since it is smaller than the sum of its proper divisors (97889972736).

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

42539610624 is a wasteful number, since it uses less digits than its factorization.

42539610624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 42539610624 in words is "forty-two billion, five hundred thirty-nine million, six hundred ten thousand, six hundred twenty-four".