3999830419200 has 1728 divisors, whose sum is σ = 17402086195200. Its totient is φ = 784406937600.

The previous prime is 3999830419199. The next prime is 3999830419229. The reversal of 3999830419200 is 29140389993.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2686252056 + ... + 2686253544.

Almost surely, 2^{3999830419200} is an apocalyptic number.

3999830419200 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 3999830419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701043097600).

3999830419200 is an abundant number, since it is smaller than the sum of its proper divisors (13402255776000).

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

3999830419200 is a wasteful number, since it uses less digits than its factorization.

3999830419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 3999830419200 in words is "three trillion, nine hundred ninety-nine billion, eight hundred thirty million, four hundred nineteen thousand, two hundred".