11441200224 has 192 divisors, whose sum is σ = 32798545920. Its totient is φ = 3481927680.

The previous prime is 11441200219. The next prime is 11441200241. The reversal of 11441200224 is 42200214411.

11441200224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11441200224.

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 31 ways as a sum of consecutive naturals, for example, 4253472 + ... + 4256160.

It is an arithmetic number, because the mean of its divisors is an integer number (170825760).

Almost surely, 2^11441200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399272960).

11441200224 is an abundant number, since it is smaller than the sum of its proper divisors (21357345696).

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

11441200224 is a wasteful number, since it uses less digits than its factorization.

11441200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11441200224 its reverse (42200214411), we get a palindrome (53641414635).

The spelling of 11441200224 in words is "eleven billion, four hundred forty-one million, two hundred thousand, two hundred twenty-four".