39801602016 has 192 divisors, whose sum is σ = 128789740800. Its totient is φ = 11856499200.

The previous prime is 39801602003. The next prime is 39801602039. The reversal of 39801602016 is 61020610893.

39801602016 is a `hidden beast` number, since 39 + 8 + 0 + 1 + 602 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525246 + ... + 596226.

It is an arithmetic number, because the mean of its divisors is an integer number (670779900).

Almost surely, 2^39801602016 is an apocalyptic number.

39801602016 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 39801602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64394870400).

39801602016 is an abundant number, since it is smaller than the sum of its proper divisors (88988138784).

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

39801602016 is a wasteful number, since it uses less digits than its factorization.

39801602016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71070 (or 71056 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 39801602016 in words is "thirty-nine billion, eight hundred one million, six hundred two thousand, sixteen".