39996039782016 has 192 divisors, whose sum is σ = 120107135977920. Its totient is φ = 12751263461376.

The previous prime is 39996039781969. The next prime is 39996039782029. The reversal of 39996039782016 is 61028793069993.

39996039782016 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 603 + 9 + 7 + 8 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341925396 + ... + 342042348.

It is an arithmetic number, because the mean of its divisors is an integer number (625557999885).

Almost surely, 2^{39996039782016} is an apocalyptic number.

39996039782016 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 39996039782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60053567988960).

39996039782016 is an abundant number, since it is smaller than the sum of its proper divisors (80111096195904).

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

39996039782016 is a wasteful number, since it uses less digits than its factorization.

39996039782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129903 (or 129888 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 39996039782016 in words is "thirty-nine trillion, nine hundred ninety-six billion, thirty-nine million, seven hundred eighty-two thousand, sixteen".