4011131135441 has 2 divisors, whose sum is σ = 4011131135442. Its totient is φ = 4011131135440.

The previous prime is 4011131135393. The next prime is 4011131135483. The reversal of 4011131135441 is 1445311311104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3580027273216 + 431103862225 = 1892096^2 + 656585^2 .

It is a cyclic number.

It is not a de Polignac number, because 4011131135441 - 2⁶ = 4011131135377 is a prime.

It is not a weakly prime, because it can be changed into another prime (4011131132441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2005565567720 + 2005565567721.

It is an arithmetic number, because the mean of its divisors is an integer number (2005565567721).

Almost surely, 2^{4011131135441} is an apocalyptic number.

It is an amenable number.

4011131135441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4011131135441 is an equidigital number, since it uses as much as digits as its factorization.

4011131135441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 4011131135441 its reverse (1445311311104), we get a palindrome (5456442446545).

The spelling of 4011131135441 in words is "four trillion, eleven billion, one hundred thirty-one million, one hundred thirty-five thousand, four hundred forty-one".