11200000440 has 64 divisors (see below), whose sum is σ = 33632962560. Its totient is φ = 2983736960.

The previous prime is 11200000429. The next prime is 11200000453. The reversal of 11200000440 is 4400000211.

11200000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 78457 + ... + 168983.

It is an arithmetic number, because the mean of its divisors is an integer number (525515040).

Almost surely, 2^11200000440 is an apocalyptic number.

11200000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200000440 is an abundant number, since it is smaller than the sum of its proper divisors (22432962120).

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

11200000440 is a wasteful number, since it uses less digits than its factorization.

11200000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91572 (or 91568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11200000440 its reverse (4400000211), we get a palindrome (15600000651).

The spelling of 11200000440 in words is "eleven billion, two hundred million, four hundred forty", and thus it is an aban number.