399393512000 has 672 divisors, whose sum is σ = 1236457568736. Its totient is φ = 126959616000.

The previous prime is 399393511999. The next prime is 399393512087. The reversal of 399393512000 is 215393993.

It can be written as a sum of positive squares in 16 ways, for example, as 258324161536 + 141069350464 = 508256^2 + 375592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486471590 + ... + 486472410.

Almost surely, 2^399393512000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399393512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618228784368).

399393512000 is an abundant number, since it is smaller than the sum of its proper divisors (837064056736).

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

399393512000 is a wasteful number, since it uses less digits than its factorization.

399393512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 44.

The spelling of 399393512000 in words is "three hundred ninety-nine billion, three hundred ninety-three million, five hundred twelve thousand".