11124056040 has 128 divisors (see below), whose sum is σ = 34501420800. Its totient is φ = 2867374080.

The previous prime is 11124056003. The next prime is 11124056051. The reversal of 11124056040 is 4065042111.

It is a happy number.

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 11124056040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525909 + ... + 546651.

It is an arithmetic number, because the mean of its divisors is an integer number (269542350).

Almost surely, 2^11124056040 is an apocalyptic number.

11124056040 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 11124056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250710400).

11124056040 is an abundant number, since it is smaller than the sum of its proper divisors (23377364760).

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

11124056040 is a wasteful number, since it uses less digits than its factorization.

11124056040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907 (or 20903 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11124056040 its reverse (4065042111), we get a palindrome (15189098151).

The spelling of 11124056040 in words is "eleven billion, one hundred twenty-four million, fifty-six thousand, forty".