4102434116257 has 2 divisors, whose sum is σ = 4102434116258. Its totient is φ = 4102434116256.

The previous prime is 4102434116219. The next prime is 4102434116303. The reversal of 4102434116257 is 7526114342014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3999264033856 + 103170082401 = 1999816^2 + 321201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4102434116257 is a prime.

It is not a weakly prime, because it can be changed into another prime (4102434116357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051217058128 + 2051217058129.

It is an arithmetic number, because the mean of its divisors is an integer number (2051217058129).

Almost surely, 2^{4102434116257} is an apocalyptic number.

It is an amenable number.

4102434116257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102434116257 is an equidigital number, since it uses as much as digits as its factorization.

4102434116257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 4102434116257 in words is "four trillion, one hundred two billion, four hundred thirty-four million, one hundred sixteen thousand, two hundred fifty-seven".