39964244905984 has 351 divisors, whose sum is σ = 94568284468917. Its totient is φ = 16837442076672.

The previous prime is 39964244905939. The next prime is 39964244905997. The reversal of 39964244905984 is 48950944246993.

The square root of 39964244905984 is 6321728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23475187814400 + 16489057091584 = 4845120^2 + 4060672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39964244905984.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 291709816764 + ... + 291709816900.

Almost surely, 2^{39964244905984} is an apocalyptic number.

39964244905984 is the 6321728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39964244905984

39964244905984 is an abundant number, since it is smaller than the sum of its proper divisors (54604039562933).

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

39964244905984 is an frugal number, since it uses more digits than its factorization.

39964244905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 76.

The spelling of 39964244905984 in words is "thirty-nine trillion, nine hundred sixty-four billion, two hundred forty-four million, nine hundred five thousand, nine hundred eighty-four".