1040111000441 has 2 divisors, whose sum is σ = 1040111000442. Its totient is φ = 1040111000440.

The previous prime is 1040111000429. The next prime is 1040111000447. The reversal of 1040111000441 is 1440001110401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 536415619216 + 503695381225 = 732404^2 + 709715^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040111000441 - 2²⁶ = 1040043891577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1040111000447) 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, 520055500220 + 520055500221.

It is an arithmetic number, because the mean of its divisors is an integer number (520055500221).

Almost surely, 2^{1040111000441} is an apocalyptic number.

It is an amenable number.

1040111000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040111000441 is an equidigital number, since it uses as much as digits as its factorization.

1040111000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1040111000441 its reverse (1440001110401), we get a palindrome (2480112110842).

The spelling of 1040111000441 in words is "one trillion, forty billion, one hundred eleven million, four hundred forty-one", and thus it is an aban number.