399196792800 has 432 divisors, whose sum is σ = 1563377593680. Its totient is φ = 98262927360.

The previous prime is 399196792789. The next prime is 399196792817. The reversal of 399196792800 is 8297691993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×399196792800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3595722 + ... + 3705078.

It is an arithmetic number, because the mean of its divisors is an integer number (3618929615).

Almost surely, 2^399196792800 is an apocalyptic number.

399196792800 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 399196792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781688796840).

399196792800 is an abundant number, since it is smaller than the sum of its proper divisors (1164180800880).

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

399196792800 is a wasteful number, since it uses less digits than its factorization.

399196792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109412 (or 109380 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 399196792800 in words is "three hundred ninety-nine billion, one hundred ninety-six million, seven hundred ninety-two thousand, eight hundred".