10944834240 has 112 divisors (see below), whose sum is σ = 34971666912. Its totient is φ = 2899992576.

The previous prime is 10944834221. The next prime is 10944834287. The reversal of 10944834240 is 4243844901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114412 + ... + 187028.

It is an arithmetic number, because the mean of its divisors is an integer number (312247026).

Almost surely, 2^10944834240 is an apocalyptic number.

10944834240 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 10944834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17485833456).

10944834240 is an abundant number, since it is smaller than the sum of its proper divisors (24026832672).

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

10944834240 is a wasteful number, since it uses less digits than its factorization.

10944834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72794 (or 72784 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 10944834240 in words is "ten billion, nine hundred forty-four million, eight hundred thirty-four thousand, two hundred forty".