399204288000 has 1920 divisors, whose sum is σ = 1803114593280. Its totient is φ = 85996339200.

The previous prime is 399204287983. The next prime is 399204288017. The reversal of 399204288000 is 882402993.

It is an interprime number because it is at equal distance from previous prime (399204287983) and next prime (399204288017).

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 191 ways as a sum of consecutive naturals, for example, 2068415904 + ... + 2068416096.

It is an arithmetic number, because the mean of its divisors is an integer number (939122184).

Almost surely, 2^399204288000 is an apocalyptic number.

399204288000 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 399204288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901557296640).

399204288000 is an abundant number, since it is smaller than the sum of its proper divisors (1403910305280).

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

399204288000 is an equidigital number, since it uses as much as digits as its factorization.

399204288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 399204288000 in words is "three hundred ninety-nine billion, two hundred four million, two hundred eighty-eight thousand".