11121334440 has 128 divisors (see below), whose sum is σ = 35010662400. Its totient is φ = 2820773120.

The previous prime is 11121334409. The next prime is 11121334481. The reversal of 11121334440 is 4443312111.

It is a super-2 number, since 2×11121334440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11121334440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482785 + ... + 505295.

It is an arithmetic number, because the mean of its divisors is an integer number (273520800).

Almost surely, 2^11121334440 is an apocalyptic number.

11121334440 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 11121334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505331200).

11121334440 is an abundant number, since it is smaller than the sum of its proper divisors (23889327960).

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

11121334440 is a wasteful number, since it uses less digits than its factorization.

11121334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22727 (or 22723 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11121334440 its reverse (4443312111), we get a palindrome (15564646551).

The spelling of 11121334440 in words is "eleven billion, one hundred twenty-one million, three hundred thirty-four thousand, four hundred forty".