399200430720 has 512 divisors, whose sum is σ = 1572059381760. Its totient is φ = 83906150400.

The previous prime is 399200430623. The next prime is 399200430749. The reversal of 399200430720 is 27034002993.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 47344905 + ... + 47353335.

It is an arithmetic number, because the mean of its divisors is an integer number (3070428480).

Almost surely, 2^399200430720 is an apocalyptic number.

399200430720 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 399200430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786029690880).

399200430720 is an abundant number, since it is smaller than the sum of its proper divisors (1172858951040).

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

399200430720 is a wasteful number, since it uses less digits than its factorization.

399200430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 399200430720 in words is "three hundred ninety-nine billion, two hundred million, four hundred thirty thousand, seven hundred twenty".