399516792000 has 224 divisors, whose sum is σ = 1351383493824. Its totient is φ = 103939072000.

The previous prime is 399516791977. The next prime is 399516792007. The reversal of 399516792000 is 297615993.

It is a happy number.

It is a super-2 number, since 2×399516792000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (399516792007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780994 + ... + 1187006.

It is an arithmetic number, because the mean of its divisors is an integer number (6032962026).

Almost surely, 2^399516792000 is an apocalyptic number.

399516792000 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 399516792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675691746912).

399516792000 is an abundant number, since it is smaller than the sum of its proper divisors (951866701824).

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

399516792000 is a wasteful number, since it uses less digits than its factorization.

399516792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406084 (or 406064 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 399516792000 in words is "three hundred ninety-nine billion, five hundred sixteen million, seven hundred ninety-two thousand".