11144201231400 has 96 divisors (see below), whose sum is σ = 34616257260000. Its totient is φ = 2965831430400.

The previous prime is 11144201231357. The next prime is 11144201231411. The reversal of 11144201231400 is 413210244111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18311491 + ... + 18910290.

It is an arithmetic number, because the mean of its divisors is an integer number (360586013125).

Almost surely, 2^{11144201231400} is an apocalyptic number.

11144201231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144201231400 is an abundant number, since it is smaller than the sum of its proper divisors (23472056028600).

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

11144201231400 is a wasteful number, since it uses less digits than its factorization.

11144201231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37222299 (or 37222290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11144201231400 its reverse (413210244111), we get a palindrome (11557411475511).

The spelling of 11144201231400 in words is "eleven trillion, one hundred forty-four billion, two hundred one million, two hundred thirty-one thousand, four hundred".