11144444400 has 360 divisors, whose sum is σ = 40983421040. Its totient is φ = 2874216960.

The previous prime is 11144444393. The next prime is 11144444447. The reversal of 11144444400 is 444444111.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 10.

It is a congruent number.

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, 66733117 + ... + 66733283.

Almost surely, 2^11144444400 is an apocalyptic number.

11144444400 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 11144444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491710520).

11144444400 is an abundant number, since it is smaller than the sum of its proper divisors (29838976640).

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

11144444400 is a wasteful number, since it uses less digits than its factorization.

11144444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 11144444400 its reverse (444444111), we get a palindrome (11588888511).

The spelling of 11144444400 in words is "eleven billion, one hundred forty-four million, four hundred forty-four thousand, four hundred".