1540544540441 has 2 divisors, whose sum is σ = 1540544540442. Its totient is φ = 1540544540440.

The previous prime is 1540544540387. The next prime is 1540544540443. The reversal of 1540544540441 is 1440454450451.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 839019360400 + 701525180041 = 915980^2 + 837571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1540544540441 is a prime.

Together with 1540544540443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1540544540443) 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, 770272270220 + 770272270221.

It is an arithmetic number, because the mean of its divisors is an integer number (770272270221).

Almost surely, 2^{1540544540441} is an apocalyptic number.

It is an amenable number.

1540544540441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1540544540441 is an equidigital number, since it uses as much as digits as its factorization.

1540544540441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512000, while the sum is 41.

Adding to 1540544540441 its reverse (1440454450451), we get a palindrome (2980998990892).

The spelling of 1540544540441 in words is "one trillion, five hundred forty billion, five hundred forty-four million, five hundred forty thousand, four hundred forty-one".