399844070293320 has 384 divisors, whose sum is σ = 1374347606112000. Its totient is φ = 100536506173440.

The previous prime is 399844070293313. The next prime is 399844070293361. The reversal of 399844070293320 is 23392070448993.

399844070293320 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 440 + 70 + 2 + 93 + 32 + 0 = 666.

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, 4569028365 + ... + 4569115875.

It is an arithmetic number, because the mean of its divisors is an integer number (3579030224250).

Almost surely, 2^{399844070293320} is an apocalyptic number.

399844070293320 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 399844070293320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687173803056000).

399844070293320 is an abundant number, since it is smaller than the sum of its proper divisors (974503535818680).

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

399844070293320 is a wasteful number, since it uses less digits than its factorization.

399844070293320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90693 (or 90686 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 399844070293320 in words is "three hundred ninety-nine trillion, eight hundred forty-four billion, seventy million, two hundred ninety-three thousand, three hundred twenty".