11044214400 has 192 divisors, whose sum is σ = 36445970880. Its totient is φ = 2939535360.

The previous prime is 11044214393. The next prime is 11044214431. The reversal of 11044214400 is 441244011.

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

It is a congruent number.

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, 8514552 + ... + 8515848.

It is an arithmetic number, because the mean of its divisors is an integer number (189822765).

Almost surely, 2^11044214400 is an apocalyptic number.

11044214400 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 11044214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222985440).

11044214400 is an abundant number, since it is smaller than the sum of its proper divisors (25401756480).

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

11044214400 is a wasteful number, since it uses less digits than its factorization.

11044214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11044214400 its reverse (441244011), we get a palindrome (11485458411).

The spelling of 11044214400 in words is "eleven billion, forty-four million, two hundred fourteen thousand, four hundred".