42213724168 has 256 divisors, whose sum is σ = 104579112960. Its totient is φ = 15500160000.

The previous prime is 42213724159. The next prime is 42213724187. The reversal of 42213724168 is 86142731224.

Its product of digits (129024) is a multiple of the sum of its prime divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 42213724168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168182043 + ... + 168182293.

It is an arithmetic number, because the mean of its divisors is an integer number (408512160).

Almost surely, 2^42213724168 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 42213724168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52289556480).

42213724168 is an abundant number, since it is smaller than the sum of its proper divisors (62365388792).

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

42213724168 is a wasteful number, since it uses less digits than its factorization.

42213724168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The spelling of 42213724168 in words is "forty-two billion, two hundred thirteen million, seven hundred twenty-four thousand, one hundred sixty-eight".