399829305360 has 120 divisors (see below), whose sum is σ = 1251171544896. Its totient is φ = 105623962880.

The previous prime is 399829305341. The next prime is 399829305361. The reversal of 399829305360 is 63503928993.

It is a tau number, because it is divible by the number of its divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 399829305360.

It is not an unprimeable number, because it can be changed into a prime (399829305361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2675005 + ... + 2820515.

Almost surely, 2^399829305360 is an apocalyptic number.

399829305360 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 399829305360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625585772448).

399829305360 is an abundant number, since it is smaller than the sum of its proper divisors (851342239536).

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

399829305360 is a wasteful number, since it uses less digits than its factorization.

399829305360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145741 (or 145628 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

The spelling of 399829305360 in words is "three hundred ninety-nine billion, eight hundred twenty-nine million, three hundred five thousand, three hundred sixty".