11144310400 has 96 divisors (see below), whose sum is σ = 27862279200. Its totient is φ = 4403911680.

The previous prime is 11144310379. The next prime is 11144310421. The reversal of 11144310400 is 401344111.

It is an interprime number because it is at equal distance from previous prime (11144310379) and next prime (11144310421).

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 11 ways as a sum of consecutive naturals, for example, 244621 + ... + 286579.

It is an arithmetic number, because the mean of its divisors is an integer number (290232075).

Almost surely, 2^11144310400 is an apocalyptic number.

11144310400 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 11144310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931139600).

11144310400 is an abundant number, since it is smaller than the sum of its proper divisors (16717968800).

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

11144310400 is an equidigital number, since it uses as much as digits as its factorization.

11144310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42066 (or 42049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11144310400 its reverse (401344111), we get a palindrome (11545654511).

The spelling of 11144310400 in words is "eleven billion, one hundred forty-four million, three hundred ten thousand, four hundred".