11120000440 has 64 divisors (see below), whose sum is σ = 26126323200. Its totient is φ = 4251595392.

The previous prime is 11120000399. The next prime is 11120000459. The reversal of 11120000440 is 4400002111.

It is a self number, because there is not a number n which added to its sum of digits gives 11120000440.

It is a congruent number.

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, 1636971 + ... + 1643749.

It is an arithmetic number, because the mean of its divisors is an integer number (408223800).

Almost surely, 2^11120000440 is an apocalyptic number.

11120000440 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 11120000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063161600).

11120000440 is an abundant number, since it is smaller than the sum of its proper divisors (15006322760).

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

11120000440 is a wasteful number, since it uses less digits than its factorization.

11120000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11120000440 its reverse (4400002111), we get a palindrome (15520002551).

The spelling of 11120000440 in words is "eleven billion, one hundred twenty million, four hundred forty", and thus it is an aban number.