11531341140 has 144 divisors (see below), whose sum is σ = 36092710080. Its totient is φ = 2747993600.

The previous prime is 11531341117. The next prime is 11531341183. The reversal of 11531341140 is 4114313511.

11531341140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11531341140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414880 + ... + 441800.

It is an arithmetic number, because the mean of its divisors is an integer number (250643820).

Almost surely, 2^11531341140 is an apocalyptic number.

11531341140 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 11531341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18046355040).

11531341140 is an abundant number, since it is smaller than the sum of its proper divisors (24561368940).

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

11531341140 is a wasteful number, since it uses less digits than its factorization.

11531341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27014 (or 27001 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11531341140 its reverse (4114313511), we get a palindrome (15645654651).

The spelling of 11531341140 in words is "eleven billion, five hundred thirty-one million, three hundred forty-one thousand, one hundred forty".