39924642120 has 192 divisors, whose sum is σ = 139397448960. Its totient is φ = 9109309440.

The previous prime is 39924642089. The next prime is 39924642151. The reversal of 39924642120 is 2124642993.

It is an interprime number because it is at equal distance from previous prime (39924642089) and next prime (39924642151).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165969 + ... + 327711.

It is an arithmetic number, because the mean of its divisors is an integer number (726028380).

Almost surely, 2^39924642120 is an apocalyptic number.

39924642120 is a gapful number since it is divisible by the number (30) 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 39924642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69698724480).

39924642120 is an abundant number, since it is smaller than the sum of its proper divisors (99472806840).

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

39924642120 is a wasteful number, since it uses less digits than its factorization.

39924642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161796 (or 161781 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 39924642120 in words is "thirty-nine billion, nine hundred twenty-four million, six hundred forty-two thousand, one hundred twenty".