42358590120 has 512 divisors, whose sum is σ = 171304243200. Its totient is φ = 8111923200.

The previous prime is 42358590049. The next prime is 42358590133. The reversal of 42358590120 is 2109585324.

It is a super-2 number, since 2×42358590120² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 6492460 + ... + 6498980.

It is an arithmetic number, because the mean of its divisors is an integer number (334578600).

Almost surely, 2^42358590120 is an apocalyptic number.

42358590120 is a gapful number since it is divisible by the number (40) 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 42358590120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85652121600).

42358590120 is an abundant number, since it is smaller than the sum of its proper divisors (128945653080).

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

42358590120 is a wasteful number, since it uses less digits than its factorization.

42358590120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 42358590120 in words is "forty-two billion, three hundred fifty-eight million, five hundred ninety thousand, one hundred twenty".