39964000400 has 30 divisors (see below), whose sum is σ = 96013511922. Its totient is φ = 15985600000.

The previous prime is 39964000369. The next prime is 39964000421. The reversal of 39964000400 is 400046993.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2779820176 + 37184180224 = 52724^2 + 192832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49954601 + ... + 49955400.

Almost surely, 2^39964000400 is an apocalyptic number.

It is an amenable number.

39964000400 is an abundant number, since it is smaller than the sum of its proper divisors (56049511522).

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

39964000400 is a wasteful number, since it uses less digits than its factorization.

39964000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99910019 (or 99910008 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 39964000400 in words is "thirty-nine billion, nine hundred sixty-four million, four hundred", and thus it is an aban number.