39990446440000 has 315 divisors, whose sum is σ = 115378781715813. Its totient is φ = 13707974784000.

The previous prime is 39990446439989. The next prime is 39990446440027. The reversal of 39990446440000 is 4464409993.

The square root of 39990446440000 is 6323800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 38074724702784 + 1915721737216 = 6170472^2 + 1384096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39990446440000.

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 44 ways as a sum of consecutive naturals, for example, 8853317742 + ... + 8853322258.

Almost surely, 2^{39990446440000} is an apocalyptic number.

39990446440000 is the 6323800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39990446440000

39990446440000 is an abundant number, since it is smaller than the sum of its proper divisors (75388335275813).

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

39990446440000 is an frugal number, since it uses more digits than its factorization.

39990446440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 39990446440000 in words is "thirty-nine trillion, nine hundred ninety billion, four hundred forty-six million, four hundred forty thousand".