10744441344 has 720 divisors, whose sum is σ = 40341292992. Its totient is φ = 2794881024.

The previous prime is 10744441313. The next prime is 10744441361. The reversal of 10744441344 is 44314444701.

10744441344 is a `hidden beast` number, since 10 + 74 + 444 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10744441299 and 10744441308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147184092 + ... + 147184164.

Almost surely, 2^10744441344 is an apocalyptic number.

10744441344 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 10744441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170646496).

10744441344 is an abundant number, since it is smaller than the sum of its proper divisors (29596851648).

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

10744441344 is an frugal number, since it uses more digits than its factorization.

10744441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 10744441344 in words is "ten billion, seven hundred forty-four million, four hundred forty-one thousand, three hundred forty-four".