4044102400 has 162 divisors, whose sum is σ = 10841897220. Its totient is φ = 1492807680.

The previous prime is 4044102353. The next prime is 4044102449. The reversal of 4044102400 is 42014404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1079731 + ... + 1083469.

Almost surely, 2^4044102400 is an apocalyptic number.

4044102400 is a gapful number since it is divisible by the number (40) 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 4044102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420948610).

4044102400 is an abundant number, since it is smaller than the sum of its proper divisors (6797794820).

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

4044102400 is a wasteful number, since it uses less digits than its factorization.

4044102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4044102400 is about 63593.2575042355. The cubic root of 4044102400 is about 1593.2137575143.

Adding to 4044102400 its reverse (42014404), we get a palindrome (4086116804).

The spelling of 4044102400 in words is "four billion, forty-four million, one hundred two thousand, four hundred".