11124442240 has 128 divisors (see below), whose sum is σ = 28177214400. Its totient is φ = 4188008448.

The previous prime is 11124442211. The next prime is 11124442247. The reversal of 11124442240 is 4224442111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11124442247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906207 + ... + 1912033.

Almost surely, 2^11124442240 is an apocalyptic number.

11124442240 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 11124442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088607200).

11124442240 is an abundant number, since it is smaller than the sum of its proper divisors (17052772160).

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

11124442240 is a wasteful number, since it uses less digits than its factorization.

11124442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 11124442240 its reverse (4224442111), we get a palindrome (15348884351).

The spelling of 11124442240 in words is "eleven billion, one hundred twenty-four million, four hundred forty-two thousand, two hundred forty".