3999499286400 has 672 divisors, whose sum is σ = 15034923919800. Its totient is φ = 1050573680640.

The previous prime is 3999499286389. The next prime is 3999499286407. The reversal of 3999499286400 is 46829949993.

3999499286400 is a `hidden beast` number, since 3 + 9 + 99 + 49 + 92 + 8 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999499286407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 156284806 + ... + 156310394.

Almost surely, 2^{3999499286400} is an apocalyptic number.

3999499286400 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 3999499286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517461959900).

3999499286400 is an abundant number, since it is smaller than the sum of its proper divisors (11035424633400).

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

3999499286400 is an equidigital number, since it uses as much as digits as its factorization.

3999499286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25698 (or 25666 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 3999499286400 in words is "three trillion, nine hundred ninety-nine billion, four hundred ninety-nine million, two hundred eighty-six thousand, four hundred".