11141144400 has 120 divisors (see below), whose sum is σ = 35716356864. Its totient is φ = 2968678400.

The previous prime is 11141144393. The next prime is 11141144411. The reversal of 11141144400 is 444114111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033665 + ... + 2039135.

Almost surely, 2^11141144400 is an apocalyptic number.

11141144400 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 11141144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858178432).

11141144400 is an abundant number, since it is smaller than the sum of its proper divisors (24575212464).

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

11141144400 is a wasteful number, since it uses less digits than its factorization.

11141144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11141144400 its reverse (444114111), we get a palindrome (11585258511).

The spelling of 11141144400 in words is "eleven billion, one hundred forty-one million, one hundred forty-four thousand, four hundred".