42059630592 has 864 divisors, whose sum is σ = 156518762400. Its totient is φ = 11119804416.

The previous prime is 42059630551. The next prime is 42059630651. The reversal of 42059630592 is 29503695024.

42059630592 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 9 + 630 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 978130923 + ... + 978130965.

It is an arithmetic number, because the mean of its divisors is an integer number (181155975).

Almost surely, 2^42059630592 is an apocalyptic number.

42059630592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42059630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78259381200).

42059630592 is an abundant number, since it is smaller than the sum of its proper divisors (114459131808).

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

42059630592 is a wasteful number, since it uses less digits than its factorization.

42059630592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 42059630592 in words is "forty-two billion, fifty-nine million, six hundred thirty thousand, five hundred ninety-two".