11144334400 has 84 divisors (see below), whose sum is σ = 27674039140. Its totient is φ = 4416768000.

The previous prime is 11144334379. The next prime is 11144334407. The reversal of 11144334400 is 443344111.

It can be written as a sum of positive squares in 6 ways, for example, as 594579456 + 10549754944 = 24384^2 + 102712^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11144334407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142450 + ... + 206350.

Almost surely, 2^11144334400 is an apocalyptic number.

11144334400 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 11144334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837019570).

11144334400 is an abundant number, since it is smaller than the sum of its proper divisors (16529704740).

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

11144334400 is a wasteful number, since it uses less digits than its factorization.

11144334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64032 (or 64017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11144334400 its reverse (443344111), we get a palindrome (11587678511).

The spelling of 11144334400 in words is "eleven billion, one hundred forty-four million, three hundred thirty-four thousand, four hundred".