39968980424856 has 320 divisors, whose sum is σ = 130197877920000. Its totient is φ = 11218706737920.

The previous prime is 39968980424833. The next prime is 39968980424941. The reversal of 39968980424856 is 65842408986993.

39968980424856 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 8 + 98 + 0 + 42 + 485 + 6 = 666.

It is a super-2 number, since 2×39968980424856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 409683570 + ... + 409781118.

It is an arithmetic number, because the mean of its divisors is an integer number (406868368500).

Almost surely, 2^{39968980424856} is an apocalyptic number.

39968980424856 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 39968980424856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65098938960000).

39968980424856 is an abundant number, since it is smaller than the sum of its proper divisors (90228897495144).

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

39968980424856 is a wasteful number, since it uses less digits than its factorization.

39968980424856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99164 (or 99151 counting only the distinct ones).

The product of its (nonzero) digits is 6449725440, while the sum is 81.

The spelling of 39968980424856 in words is "thirty-nine trillion, nine hundred sixty-eight billion, nine hundred eighty million, four hundred twenty-four thousand, eight hundred fifty-six".