39972912721488 has 480 divisors, whose sum is σ = 119448964776960. Its totient is φ = 12933084257280.

The previous prime is 39972912721471. The next prime is 39972912721493. The reversal of 39972912721488 is 88412721927993.

39972912721488 is a `hidden beast` number, since 3 + 9 + 9 + 72 + 9 + 1 + 2 + 72 + 1 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37603868445 + ... + 37603869507.

It is an arithmetic number, because the mean of its divisors is an integer number (248852009952).

Almost surely, 2^{39972912721488} 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 39972912721488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59724482388480).

39972912721488 is an abundant number, since it is smaller than the sum of its proper divisors (79476052055472).

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

39972912721488 is a wasteful number, since it uses less digits than its factorization.

39972912721488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2091 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 39972912721488 in words is "thirty-nine trillion, nine hundred seventy-two billion, nine hundred twelve million, seven hundred twenty-one thousand, four hundred eighty-eight".