39946456704 has 256 divisors, whose sum is σ = 133312988160. Its totient is φ = 10295500800.

The previous prime is 39946456681. The next prime is 39946456709. The reversal of 39946456704 is 40765464993.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (39946456709) 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 31 ways as a sum of consecutive naturals, for example, 3868252 + ... + 3878564.

It is an arithmetic number, because the mean of its divisors is an integer number (520753860).

Almost surely, 2^39946456704 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 39946456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66656494080).

39946456704 is an abundant number, since it is smaller than the sum of its proper divisors (93366531456).

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

39946456704 is a wasteful number, since it uses less digits than its factorization.

39946456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 39946456704 in words is "thirty-nine billion, nine hundred forty-six million, four hundred fifty-six thousand, seven hundred four".