39901680000 has 1920 divisors, whose sum is σ = 190710828000. Its totient is φ = 8128512000.

The previous prime is 39901679989. The next prime is 39901680023. The reversal of 39901680000 is 8610993.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1375919986 + ... + 1375920014.

Almost surely, 2^39901680000 is an apocalyptic number.

39901680000 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 39901680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95355414000).

39901680000 is an abundant number, since it is smaller than the sum of its proper divisors (150809148000).

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

39901680000 is a wasteful number, since it uses less digits than its factorization.

39901680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 39901680000 in words is "thirty-nine billion, nine hundred one million, six hundred eighty thousand".