39972621630816 has 864 divisors, whose sum is σ = 138667713518880. Its totient is φ = 11293039263744.

The previous prime is 39972621630811. The next prime is 39972621630841. The reversal of 39972621630816 is 61803612627993.

39972621630816 is a `hidden beast` number, since 3 + 9 + 97 + 26 + 216 + 308 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (39972621630811) 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, 24843145020 + ... + 24843146628.

It is an arithmetic number, because the mean of its divisors is an integer number (160495038795).

Almost surely, 2^{39972621630816} is an apocalyptic number.

39972621630816 is a gapful number since it is divisible by the number (36) 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 39972621630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69333856759440).

39972621630816 is an abundant number, since it is smaller than the sum of its proper divisors (98695091888064).

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

39972621630816 is a wasteful number, since it uses less digits than its factorization.

39972621630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 39972621630816 in words is "thirty-nine trillion, nine hundred seventy-two billion, six hundred twenty-one million, six hundred thirty thousand, eight hundred sixteen".