10044400000 has 96 divisors (see below), whose sum is σ = 25012305360. Its totient is φ = 4017600000.

The previous prime is 10044399991. The next prime is 10044400039. The reversal of 10044400000 is 444001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387445 + ... + 412555.

Almost surely, 2^10044400000 is an apocalyptic number.

10044400000 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 10044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12506152680).

10044400000 is an abundant number, since it is smaller than the sum of its proper divisors (14967905360).

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

10044400000 is an frugal number, since it uses more digits than its factorization.

10044400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 10044400000 its reverse (444001), we get a palindrome (10044844001).

The spelling of 10044400000 in words is "ten billion, forty-four million, four hundred thousand".