10044424000 has 112 divisors (see below), whose sum is σ = 26788756176. Its totient is φ = 3708672000.

The previous prime is 10044423989. The next prime is 10044424009. The reversal of 10044424000 is 42444001.

10044424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8336420416 + 1708003584 = 91304^2 + 41328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044424009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55710 + ... + 152290.

It is an arithmetic number, because the mean of its divisors is an integer number (239185323).

Almost surely, 2^10044424000 is an apocalyptic number.

10044424000 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 10044424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394378088).

10044424000 is an abundant number, since it is smaller than the sum of its proper divisors (16744332176).

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

10044424000 is an equidigital number, since it uses as much as digits as its factorization.

10044424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96621 (or 96601 counting only the distinct ones).

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

Adding to 10044424000 its reverse (42444001), we get a palindrome (10086868001).

The spelling of 10044424000 in words is "ten billion, forty-four million, four hundred twenty-four thousand".