11144515444400 has 120 divisors (see below), whose sum is σ = 28985257991424. Its totient is φ = 4093353676800.

The previous prime is 11144515444399. The next prime is 11144515444421. The reversal of 11144515444400 is 444451544111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4617209 + ... + 6603608.

Almost surely, 2^{11144515444400} is an apocalyptic number.

11144515444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144515444400 is an abundant number, since it is smaller than the sum of its proper divisors (17840742547024).

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

11144515444400 is a wasteful number, since it uses less digits than its factorization.

11144515444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221039 (or 11221028 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

Adding to 11144515444400 its reverse (444451544111), we get a palindrome (11588966988511).

The spelling of 11144515444400 in words is "eleven trillion, one hundred forty-four billion, five hundred fifteen million, four hundred forty-four thousand, four hundred".