10444441204344 has 256 divisors, whose sum is σ = 30924369745920. Its totient is φ = 2877343948800.

The previous prime is 10444441204303. The next prime is 10444441204349. The reversal of 10444441204344 is 44340214444401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444441204349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511796589 + ... + 511816995.

It is an arithmetic number, because the mean of its divisors is an integer number (120798319320).

Almost surely, 2^{10444441204344} is an apocalyptic number.

10444441204344 is a gapful number since it is divisible by the number (14) 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 10444441204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462184872960).

10444441204344 is an abundant number, since it is smaller than the sum of its proper divisors (20479928541576).

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

10444441204344 is a wasteful number, since it uses less digits than its factorization.

10444441204344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198 (or 21194 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 10444441204344 its reverse (44340214444401), we get a palindrome (54784655648745).

The spelling of 10444441204344 in words is "ten trillion, four hundred forty-four billion, four hundred forty-one million, two hundred four thousand, three hundred forty-four".