39990446400 has 336 divisors, whose sum is σ = 143410106880. Its totient is φ = 9712435200.

The previous prime is 39990446347. The next prime is 39990446407. The reversal of 39990446400 is 464409993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39990446400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39990446407) 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 47 ways as a sum of consecutive naturals, for example, 2521696 + ... + 2537504.

Almost surely, 2^39990446400 is an apocalyptic number.

39990446400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39990446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705053440).

39990446400 is an abundant number, since it is smaller than the sum of its proper divisors (103419660480).

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

39990446400 is a wasteful number, since it uses less digits than its factorization.

39990446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15882 (or 15867 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 39990446400 in words is "thirty-nine billion, nine hundred ninety million, four hundred forty-six thousand, four hundred".