11440900224 has 192 divisors, whose sum is σ = 35598326400. Its totient is φ = 3506042880.

The previous prime is 11440900117. The next prime is 11440900271. The reversal of 11440900224 is 42200904411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4057087 + ... + 4059905.

It is an arithmetic number, because the mean of its divisors is an integer number (185407950).

Almost surely, 2^11440900224 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 11440900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799163200).

11440900224 is an abundant number, since it is smaller than the sum of its proper divisors (24157426176).

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

11440900224 is a wasteful number, since it uses less digits than its factorization.

11440900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11440900224 in words is "eleven billion, four hundred forty million, nine hundred thousand, two hundred twenty-four".