11344031441120 has 192 divisors, whose sum is σ = 31181190921216. Its totient is φ = 3819674664960.

The previous prime is 11344031441059. The next prime is 11344031441129. The reversal of 11344031441120 is 2114413044311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344031441129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20159099 + ... + 20714181.

It is an arithmetic number, because the mean of its divisors is an integer number (162402036048).

Almost surely, 2^{11344031441120} is an apocalyptic number.

11344031441120 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 11344031441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590595460608).

11344031441120 is an abundant number, since it is smaller than the sum of its proper divisors (19837159480096).

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

11344031441120 is a wasteful number, since it uses less digits than its factorization.

11344031441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555433 (or 555425 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 11344031441120 its reverse (2114413044311), we get a palindrome (13458444485431).

The spelling of 11344031441120 in words is "eleven trillion, three hundred forty-four billion, thirty-one million, four hundred forty-one thousand, one hundred twenty".