11441300200 has 288 divisors, whose sum is σ = 30683036160. Its totient is φ = 3960000000.

The previous prime is 11441300191. The next prime is 11441300257. The reversal of 11441300200 is 200314411.

11441300200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 75770125 + ... + 75770275.

It is an arithmetic number, because the mean of its divisors is an integer number (106538320).

Almost surely, 2^11441300200 is an apocalyptic number.

11441300200 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 11441300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341518080).

11441300200 is an abundant number, since it is smaller than the sum of its proper divisors (19241735960).

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

11441300200 is a wasteful number, since it uses less digits than its factorization.

11441300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11441300200 its reverse (200314411), we get a palindrome (11641614611).

It can be divided in two parts, 114 and 41300200, that added together give a palindrome (41300314).

The spelling of 11441300200 in words is "eleven billion, four hundred forty-one million, three hundred thousand, two hundred".