3999142400 has 120 divisors (see below), whose sum is σ = 10809312624. Its totient is φ = 1454182400.

The previous prime is 3999142397. The next prime is 3999142403. The reversal of 3999142400 is 42419993.

It is an interprime number because it is at equal distance from previous prime (3999142397) and next prime (3999142403).

It is not an unprimeable number, because it can be changed into a prime (3999142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126599 + ... + 155001.

Almost surely, 2^3999142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3999142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404656312).

3999142400 is an abundant number, since it is smaller than the sum of its proper divisors (6810170224).

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

3999142400 is a wasteful number, since it uses less digits than its factorization.

3999142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28442 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 3999142400 is about 63238.7729166213. The cubic root of 3999142400 is about 1587.2875975978.

The spelling of 3999142400 in words is "three billion, nine hundred ninety-nine million, one hundred forty-two thousand, four hundred".