11144102400 has 180 divisors, whose sum is σ = 39882078522. Its totient is φ = 2971729920.

The previous prime is 11144102371. The next prime is 11144102467. The reversal of 11144102400 is 420144111.

11144102400 is a `hidden beast` number, since 1 + 1 + 14 + 410 + 240 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10879324416 + 264777984 = 104304^2 + 16272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66832 + ... + 163568.

Almost surely, 2^11144102400 is an apocalyptic number.

11144102400 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 11144102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19941039261).

11144102400 is an abundant number, since it is smaller than the sum of its proper divisors (28737976122).

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

11144102400 is an equidigital number, since it uses as much as digits as its factorization.

11144102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96771 (or 96747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11144102400 its reverse (420144111), we get a palindrome (11564246511).

The spelling of 11144102400 in words is "eleven billion, one hundred forty-four million, one hundred two thousand, four hundred".