39906465984 has 504 divisors, whose sum is σ = 144882620064. Its totient is φ = 10279526400.

The previous prime is 39906465967. The next prime is 39906466013. The reversal of 39906465984 is 48956460993.

39906465984 is a `hidden beast` number, since 3 + 9 + 90 + 6 + 465 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76595644 + ... + 76596164.

It is an arithmetic number, because the mean of its divisors is an integer number (287465516).

Almost surely, 2^39906465984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39906465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441310032).

39906465984 is an abundant number, since it is smaller than the sum of its proper divisors (104976154080).

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

39906465984 is a wasteful number, since it uses less digits than its factorization.

39906465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 39906465984 in words is "thirty-nine billion, nine hundred six million, four hundred sixty-five thousand, nine hundred eighty-four".