39405864960 has 960 divisors, whose sum is σ = 176380364160. Its totient is φ = 8174960640.

The previous prime is 39405864919. The next prime is 39405864989. The reversal of 39405864960 is 6946850493.

39405864960 is a `hidden beast` number, since 39 + 40 + 5 + 86 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 39405864897 and 39405864906.

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, 63866572 + ... + 63867188.

It is an arithmetic number, because the mean of its divisors is an integer number (183729546).

Almost surely, 2^39405864960 is an apocalyptic number.

39405864960 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 39405864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88190182080).

39405864960 is an abundant number, since it is smaller than the sum of its proper divisors (136974499200).

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

39405864960 is a wasteful number, since it uses less digits than its factorization.

39405864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 39405864960 in words is "thirty-nine billion, four hundred five million, eight hundred sixty-four thousand, nine hundred sixty".