39960933408 has 432 divisors, whose sum is σ = 131005195776. Its totient is φ = 11531520000.

The previous prime is 39960933403. The next prime is 39960933421. The reversal of 39960933408 is 80433906993.

It is a happy number.

39960933408 is a `hidden beast` number, since 3 + 99 + 60 + 93 + 3 + 408 = 666.

It is a super-2 number, since 2×39960933408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39960933403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76700188 + ... + 76700708.

It is an arithmetic number, because the mean of its divisors is an integer number (303252768).

Almost surely, 2^39960933408 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 39960933408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65502597888).

39960933408 is an abundant number, since it is smaller than the sum of its proper divisors (91044262368).

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

39960933408 is a wasteful number, since it uses less digits than its factorization.

39960933408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 39960933408 in words is "thirty-nine billion, nine hundred sixty million, nine hundred thirty-three thousand, four hundred eight".