11441444214200 has 576 divisors, whose sum is σ = 36020605992000. Its totient is φ = 3288779366400.

The previous prime is 11441444214163. The next prime is 11441444214257. The reversal of 11441444214200 is 241244414411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3543338186 + ... + 3543341414.

Almost surely, 2^{11441444214200} is an apocalyptic number.

11441444214200 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 11441444214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18010302996000).

11441444214200 is an abundant number, since it is smaller than the sum of its proper divisors (24579161777800).

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

11441444214200 is a wasteful number, since it uses less digits than its factorization.

11441444214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 11441444214200 its reverse (241244414411), we get a palindrome (11682688628611).

The spelling of 11441444214200 in words is "eleven trillion, four hundred forty-one billion, four hundred forty-four million, two hundred fourteen thousand, two hundred".