390944102400 has 720 divisors, whose sum is σ = 1463165023320. Its totient is φ = 103160217600.

The previous prime is 390944102347. The next prime is 390944102443. The reversal of 390944102400 is 4201449093.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 443749960 + ... + 443750840.

Almost surely, 2^390944102400 is an apocalyptic number.

390944102400 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 390944102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731582511660).

390944102400 is an abundant number, since it is smaller than the sum of its proper divisors (1072220920920).

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

390944102400 is a wasteful number, since it uses less digits than its factorization.

390944102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 390944102400 in words is "three hundred ninety billion, nine hundred forty-four million, one hundred two thousand, four hundred".