11144400 has 120 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 2880000.

The previous prime is 11144383. The next prime is 11144417. The reversal of 11144400 is 444111.

It is an interprime number because it is at equal distance from previous prime (11144383) and next prime (11144417).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11144400.

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, 44275 + ... + 44525.

Almost surely, 2^11144400 is an apocalyptic number.

11144400 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 11144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

11144400 is an abundant number, since it is smaller than the sum of its proper divisors (25665744).

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

11144400 is a wasteful number, since it uses less digits than its factorization.

11144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 11144400 is about 3338.3229322521. The cubic root of 11144400 is about 223.3669413050.

Adding to 11144400 its reverse (444111), we get a palindrome (11588511).

It can be divided in two parts, 111 and 44400, that multiplied together give a square (4928400 = 2220²).

The spelling of 11144400 in words is "eleven million, one hundred forty-four thousand, four hundred".