11411131131400 has 384 divisors, whose sum is σ = 35633669299200. Its totient is φ = 3282036249600.

The previous prime is 11411131131391. The next prime is 11411131131403. The reversal of 11411131131400 is 413113111411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11411131131403) 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 95 ways as a sum of consecutive naturals, for example, 756548259 + ... + 756563341.

It is an arithmetic number, because the mean of its divisors is an integer number (92796013800).

Almost surely, 2^{11411131131400} is an apocalyptic number.

11411131131400 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 11411131131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816834649600).

11411131131400 is an abundant number, since it is smaller than the sum of its proper divisors (24222538167800).

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

11411131131400 is a wasteful number, since it uses less digits than its factorization.

11411131131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18909 (or 18900 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 11411131131400 its reverse (413113111411), we get a palindrome (11824244242811).

The spelling of 11411131131400 in words is "eleven trillion, four hundred eleven billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred".