1741257740241 has 6 divisors (see below), whose sum is σ = 2515150069250. Its totient is φ = 1160838493488.

The previous prime is 1741257740099. The next prime is 1741257740251. The reversal of 1741257740241 is 1420477521471.

1741257740241 is a `hidden beast` number, since 1 + 7 + 4 + 12 + 577 + 40 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1724389185600 + 16868554641 = 1313160^2 + 129879^2 .

It is not a de Polignac number, because 1741257740241 - 2¹⁸ = 1741257478097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1741257740251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96736541116 + ... + 96736541133.

Almost surely, 2^{1741257740241} is an apocalyptic number.

It is an amenable number.

1741257740241 is a deficient number, since it is larger than the sum of its proper divisors (773892329009).

1741257740241 is a wasteful number, since it uses less digits than its factorization.

1741257740241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193473082255 (or 193473082252 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 1741257740241 in words is "one trillion, seven hundred forty-one billion, two hundred fifty-seven million, seven hundred forty thousand, two hundred forty-one".