39945984624 has 540 divisors, whose sum is σ = 146388302424. Its totient is φ = 10452250368.

The previous prime is 39945984601. The next prime is 39945984667. The reversal of 39945984624 is 42648954993.

39945984624 is a `hidden beast` number, since 39 + 9 + 4 + 598 + 4 + 6 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 314535249 + ... + 314535375.

Almost surely, 2^39945984624 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 39945984624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73194151212).

39945984624 is an abundant number, since it is smaller than the sum of its proper divisors (106442317800).

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

39945984624 is a wasteful number, since it uses less digits than its factorization.

39945984624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 39945984624 in words is "thirty-nine billion, nine hundred forty-five million, nine hundred eighty-four thousand, six hundred twenty-four".