10044121344 has 144 divisors (see below), whose sum is σ = 28212105600. Its totient is φ = 3165995008.

The previous prime is 10044121333. The next prime is 10044121349. The reversal of 10044121344 is 44312144001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10044121349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568902 + ... + 1575290.

It is an arithmetic number, because the mean of its divisors is an integer number (195917400).

Almost surely, 2^10044121344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106052800).

10044121344 is an abundant number, since it is smaller than the sum of its proper divisors (18167984256).

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

10044121344 is an equidigital number, since it uses as much as digits as its factorization.

10044121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10044121344 its reverse (44312144001), we get a palindrome (54356265345).

The spelling of 10044121344 in words is "ten billion, forty-four million, one hundred twenty-one thousand, three hundred forty-four".