39972884307840 has 768 divisors, whose sum is σ = 155882709964800. Its totient is φ = 9349600296960.

The previous prime is 39972884307827. The next prime is 39972884307883. The reversal of 39972884307840 is 4870348827993.

39972884307840 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 2 + 88 + 430 + 78 + 40 = 666.

It is a super-2 number, since 2×39972884307840² (a number of 28 digits) contains 22 as substring.

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, 2879261539 + ... + 2879275421.

It is an arithmetic number, because the mean of its divisors is an integer number (202972278600).

Almost surely, 2^{39972884307840} is an apocalyptic number.

39972884307840 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 39972884307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77941354982400).

39972884307840 is an abundant number, since it is smaller than the sum of its proper divisors (115909825656960).

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

39972884307840 is a wasteful number, since it uses less digits than its factorization.

39972884307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 39972884307840 in words is "thirty-nine trillion, nine hundred seventy-two billion, eight hundred eighty-four million, three hundred seven thousand, eight hundred forty".