39975793920 has 252 divisors, whose sum is σ = 143569454196. Its totient is φ = 10659962880.

The previous prime is 39975793919. The next prime is 39975793943. The reversal of 39975793920 is 2939757993.

It is a happy number.

39975793920 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 579 + 39 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25964810496 + 14010983424 = 161136^2 + 118368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 911700 + ... + 954540.

Almost surely, 2^39975793920 is an apocalyptic number.

39975793920 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 39975793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71784727098).

39975793920 is an abundant number, since it is smaller than the sum of its proper divisors (103593660276).

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

39975793920 is an frugal number, since it uses more digits than its factorization.

39975793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42880 (or 42851 counting only the distinct ones).

The product of its (nonzero) digits is 28934010, while the sum is 63.

The spelling of 39975793920 in words is "thirty-nine billion, nine hundred seventy-five million, seven hundred ninety-three thousand, nine hundred twenty".