399336336000 has 768 divisors, whose sum is σ = 1648129317120. Its totient is φ = 90768384000.

The previous prime is 399336335941. The next prime is 399336336001. The reversal of 399336336000 is 633633993.

399336336000 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 3 + 6 + 33 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (399336336001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198574995 + ... + 198577005.

It is an arithmetic number, because the mean of its divisors is an integer number (2146001715).

Almost surely, 2^399336336000 is an apocalyptic number.

399336336000 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 399336336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824064658560).

399336336000 is an abundant number, since it is smaller than the sum of its proper divisors (1248792981120).

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

399336336000 is a wasteful number, since it uses less digits than its factorization.

399336336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 45.

Adding to 399336336000 its reverse (633633993), we get a palindrome (399969969993).

The spelling of 399336336000 in words is "three hundred ninety-nine billion, three hundred thirty-six million, three hundred thirty-six thousand".