11111112440 has 64 divisors (see below), whose sum is σ = 25310880000. Its totient is φ = 4389299200.

The previous prime is 11111112421. The next prime is 11111112451. The reversal of 11111112440 is 4421111111.

11111112440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4630361 + ... + 4632759.

It is an arithmetic number, because the mean of its divisors is an integer number (395482500).

Almost surely, 2^11111112440 is an apocalyptic number.

11111112440 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 11111112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440000).

11111112440 is an abundant number, since it is smaller than the sum of its proper divisors (14199767560).

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

11111112440 is a wasteful number, since it uses less digits than its factorization.

11111112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11111112440 its reverse (4421111111), we get a palindrome (15532223551).

The spelling of 11111112440 in words is "eleven billion, one hundred eleven million, one hundred twelve thousand, four hundred forty".