10044304200 has 432 divisors, whose sum is σ = 40090826880. Its totient is φ = 2246065920.

The previous prime is 10044304199. The next prime is 10044304219. The reversal of 10044304200 is 240344001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4144189 + ... + 4146611.

It is an arithmetic number, because the mean of its divisors is an integer number (92802840).

Almost surely, 2^10044304200 is an apocalyptic number.

10044304200 is a gapful number since it is divisible by the number (10) 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 10044304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20045413440).

10044304200 is an abundant number, since it is smaller than the sum of its proper divisors (30046522680).

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

10044304200 is a wasteful number, since it uses less digits than its factorization.

10044304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10044304200 its reverse (240344001), we get a palindrome (10284648201).

The spelling of 10044304200 in words is "ten billion, forty-four million, three hundred four thousand, two hundred".