11144134041120 has 144 divisors (see below), whose sum is σ = 38036119605120. Its totient is φ = 2971240653312.

The previous prime is 11144134041109. The next prime is 11144134041121. The reversal of 11144134041120 is 2114043144111.

11144134041120 is a `hidden beast` number, since 1 + 1 + 144 + 1 + 3 + 404 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11144134041121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7446451 + ... + 8816909.

It is an arithmetic number, because the mean of its divisors is an integer number (264139719480).

Almost surely, 2^{11144134041120} is an apocalyptic number.

11144134041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144134041120 is an abundant number, since it is smaller than the sum of its proper divisors (26891985564000).

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

11144134041120 is a wasteful number, since it uses less digits than its factorization.

11144134041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376127 (or 1376116 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11144134041120 its reverse (2114043144111), we get a palindrome (13258177185231).

The spelling of 11144134041120 in words is "eleven trillion, one hundred forty-four billion, one hundred thirty-four million, forty-one thousand, one hundred twenty".