257304116411441 has 24 divisors (see below), whose sum is σ = 286004560111200. Its totient is φ = 231280631489600.

The previous prime is 257304116411437. The next prime is 257304116411527. The reversal of 257304116411441 is 144114611403752.

It is a happy number.

It is not a de Polignac number, because 257304116411441 - 2² = 257304116411437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257304116411392 and 257304116411401.

It is not an unprimeable number, because it can be changed into a prime (257304116411341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757741706 + ... + 758081196.

It is an arithmetic number, because the mean of its divisors is an integer number (11916856671300).

Almost surely, 2^{257304116411441} is an apocalyptic number.

It is an amenable number.

257304116411441 is a deficient number, since it is larger than the sum of its proper divisors (28700443699759).

257304116411441 is a wasteful number, since it uses less digits than its factorization.

257304116411441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409981 (or 409970 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 257304116411441 in words is "two hundred fifty-seven trillion, three hundred four billion, one hundred sixteen million, four hundred eleven thousand, four hundred forty-one".