1140320114241 has 64 divisors (see below), whose sum is σ = 1906421661696. Its totient is φ = 588996878400.

The previous prime is 1140320114201. The next prime is 1140320114267. The reversal of 1140320114241 is 1424110230411.

It is a happy number.

It is not a de Polignac number, because 1140320114241 - 2¹¹ = 1140320112193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1140320114201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52970706 + ... + 52992228.

It is an arithmetic number, because the mean of its divisors is an integer number (29787838464).

Almost surely, 2^{1140320114241} is an apocalyptic number.

1140320114241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1140320114241 is a deficient number, since it is larger than the sum of its proper divisors (766101547455).

1140320114241 is a wasteful number, since it uses less digits than its factorization.

1140320114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22842.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1140320114241 its reverse (1424110230411), we get a palindrome (2564430344652).

The spelling of 1140320114241 in words is "one trillion, one hundred forty billion, three hundred twenty million, one hundred fourteen thousand, two hundred forty-one".