39934441680 has 320 divisors, whose sum is σ = 149366630400. Its totient is φ = 8622028800.

The previous prime is 39934441639. The next prime is 39934441691. The reversal of 39934441680 is 8614443993.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12096030 + ... + 12099330.

It is an arithmetic number, because the mean of its divisors is an integer number (466770720).

Almost surely, 2^39934441680 is an apocalyptic number.

39934441680 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 39934441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74683315200).

39934441680 is an abundant number, since it is smaller than the sum of its proper divisors (109432188720).

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

39934441680 is a wasteful number, since it uses less digits than its factorization.

39934441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 39934441680 in words is "thirty-nine billion, nine hundred thirty-four million, four hundred forty-one thousand, six hundred eighty".