11342114131140 has 72 divisors (see below), whose sum is σ = 37050906169368. Its totient is φ = 2791905016320.

The previous prime is 11342114131097. The next prime is 11342114131163. The reversal of 11342114131140 is 4113141124311.

11342114131140 is a `hidden beast` number, since 1 + 1 + 34 + 211 + 413 + 1 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86679603396 + 11255434527744 = 294414^2 + 3354912^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2423526321 + ... + 2423531000.

It is an arithmetic number, because the mean of its divisors is an integer number (514595919019).

Almost surely, 2^{11342114131140} is an apocalyptic number.

11342114131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11342114131140 is an abundant number, since it is smaller than the sum of its proper divisors (25708792038228).

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

11342114131140 is a wasteful number, since it uses less digits than its factorization.

11342114131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847057349 (or 4847057344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11342114131140 its reverse (4113141124311), we get a palindrome (15455255255451).

The spelling of 11342114131140 in words is "eleven trillion, three hundred forty-two billion, one hundred fourteen million, one hundred thirty-one thousand, one hundred forty".