11140131314400 has 288 divisors, whose sum is σ = 39842193686400. Its totient is φ = 2681207961600.

The previous prime is 11140131314387. The next prime is 11140131314401. The reversal of 11140131314400 is 441313104111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140131314401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2151706 + ... + 5187494.

It is an arithmetic number, because the mean of its divisors is an integer number (138340950300).

Almost surely, 2^{11140131314400} is an apocalyptic number.

11140131314400 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 11140131314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19921096843200).

11140131314400 is an abundant number, since it is smaller than the sum of its proper divisors (28702062372000).

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

11140131314400 is a wasteful number, since it uses less digits than its factorization.

11140131314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035962 (or 3035949 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11140131314400 its reverse (441313104111), we get a palindrome (11581444418511).

The spelling of 11140131314400 in words is "eleven trillion, one hundred forty billion, one hundred thirty-one million, three hundred fourteen thousand, four hundred".