11240044200 has 288 divisors, whose sum is σ = 47062791360. Its totient is φ = 2335564800.

The previous prime is 11240044183. The next prime is 11240044237. The reversal of 11240044200 is 244004211.

11240044200 is a `hidden beast` number, since 1 + 1 + 240 + 0 + 4 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98052 + ... + 179148.

It is an arithmetic number, because the mean of its divisors is an integer number (163412470).

Almost surely, 2^11240044200 is an apocalyptic number.

11240044200 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 11240044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23531395680).

11240044200 is an abundant number, since it is smaller than the sum of its proper divisors (35822747160).

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

11240044200 is a wasteful number, since it uses less digits than its factorization.

11240044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81137 (or 81125 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11240044200 its reverse (244004211), we get a palindrome (11484048411).

The spelling of 11240044200 in words is "eleven billion, two hundred forty million, forty-four thousand, two hundred".