399409920000 has 1920 divisors, whose sum is σ = 1833972940800. Its totient is φ = 83607552000.

The previous prime is 399409919989. The next prime is 399409920029. The reversal of 399409920000 is 29904993.

399409920000 is a `hidden beast` number, since 39 + 9 + 409 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3144959937 + ... + 3144960063.

It is an arithmetic number, because the mean of its divisors is an integer number (955194240).

Almost surely, 2^399409920000 is an apocalyptic number.

399409920000 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 399409920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916986470400).

399409920000 is an abundant number, since it is smaller than the sum of its proper divisors (1434563020800).

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

399409920000 is a wasteful number, since it uses less digits than its factorization.

399409920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 399409920000 in words is "three hundred ninety-nine billion, four hundred nine million, nine hundred twenty thousand".