4257743265401 has 2 divisors, whose sum is σ = 4257743265402. Its totient is φ = 4257743265400.

The previous prime is 4257743265353. The next prime is 4257743265437. The reversal of 4257743265401 is 1045623477524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3716894805625 + 540848459776 = 1927925^2 + 735424^2 .

It is a cyclic number.

It is not a de Polignac number, because 4257743265401 - 2³⁸ = 3982865358457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4257743265401.

It is not a weakly prime, because it can be changed into another prime (4257743265491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2128871632700 + 2128871632701.

It is an arithmetic number, because the mean of its divisors is an integer number (2128871632701).

Almost surely, 2^{4257743265401} is an apocalyptic number.

It is an amenable number.

4257743265401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4257743265401 is an equidigital number, since it uses as much as digits as its factorization.

4257743265401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5644800, while the sum is 50.

The spelling of 4257743265401 in words is "four trillion, two hundred fifty-seven billion, seven hundred forty-three million, two hundred sixty-five thousand, four hundred one".