10044502400 has 96 divisors (see below), whose sum is σ = 25127781600. Its totient is φ = 3966842880.

The previous prime is 10044502381. The next prime is 10044502409. The reversal of 10044502400 is 420544001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044502409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232934 + ... + 272666.

It is an arithmetic number, because the mean of its divisors is an integer number (261747725).

Almost surely, 2^10044502400 is an apocalyptic number.

10044502400 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 10044502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563890800).

10044502400 is an abundant number, since it is smaller than the sum of its proper divisors (15083279200).

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

10044502400 is an equidigital number, since it uses as much as digits as its factorization.

10044502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39836 (or 39819 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 10044502400 in words is "ten billion, forty-four million, five hundred two thousand, four hundred".