11114041120 has 384 divisors, whose sum is σ = 33530112000. Its totient is φ = 3388096512.

The previous prime is 11114041069. The next prime is 11114041123. The reversal of 11114041120 is 2114041111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11114041094 and 11114041103.

It is not an unprimeable number, because it can be changed into a prime (11114041123) 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, 74590806 + ... + 74590954.

It is an arithmetic number, because the mean of its divisors is an integer number (87318000).

Almost surely, 2^11114041120 is an apocalyptic number.

11114041120 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 11114041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056000).

11114041120 is an abundant number, since it is smaller than the sum of its proper divisors (22416070880).

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

11114041120 is a wasteful number, since it uses less digits than its factorization.

11114041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11114041120 its reverse (2114041111), we get a palindrome (13228082231).

Subtracting from 11114041120 its reverse (2114041111), we obtain a palindrome (9000000009).

The spelling of 11114041120 in words is "eleven billion, one hundred fourteen million, forty-one thousand, one hundred twenty".