39980932992 has 1152 divisors, whose sum is σ = 163424563200. Its totient is φ = 9510359040.

The previous prime is 39980932973. The next prime is 39980932993. The reversal of 39980932992 is 29923908993.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39980932993) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314810433 + ... + 314810559.

It is an arithmetic number, because the mean of its divisors is an integer number (141861600).

Almost surely, 2^39980932992 is an apocalyptic number.

39980932992 is a gapful number since it is divisible by the number (32) 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 39980932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81712281600).

39980932992 is an abundant number, since it is smaller than the sum of its proper divisors (123443630208).

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

39980932992 is a wasteful number, since it uses less digits than its factorization.

39980932992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 39980932992 in words is "thirty-nine billion, nine hundred eighty million, nine hundred thirty-two thousand, nine hundred ninety-two".