39975121920 has 352 divisors, whose sum is σ = 140073753600. Its totient is φ = 9685172224.

The previous prime is 39975121919. The next prime is 39975121931. The reversal of 39975121920 is 2912157993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39975121920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7569841 + ... + 7575119.

It is an arithmetic number, because the mean of its divisors is an integer number (397936800).

Almost surely, 2^39975121920 is an apocalyptic number.

39975121920 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 39975121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70036876800).

39975121920 is an abundant number, since it is smaller than the sum of its proper divisors (100098631680).

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

39975121920 is a wasteful number, since it uses less digits than its factorization.

39975121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The spelling of 39975121920 in words is "thirty-nine billion, nine hundred seventy-five million, one hundred twenty-one thousand, nine hundred twenty".