42412340323217 has 2 divisors, whose sum is σ = 42412340323218. Its totient is φ = 42412340323216.

The previous prime is 42412340323201. The next prime is 42412340323219. The reversal of 42412340323217 is 71232304321424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42239613638401 + 172726684816 = 6499201^2 + 415604^2 .

It is a cyclic number.

It is not a de Polignac number, because 42412340323217 - 2⁴ = 42412340323201 is a prime.

It is a super-2 number, since 2×42412340323217² (a number of 28 digits) contains 22 as substring.

Together with 42412340323219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42412340323219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21206170161608 + 21206170161609.

It is an arithmetic number, because the mean of its divisors is an integer number (21206170161609).

Almost surely, 2^{42412340323217} is an apocalyptic number.

It is an amenable number.

42412340323217 is a deficient number, since it is larger than the sum of its proper divisors (1).

42412340323217 is an equidigital number, since it uses as much as digits as its factorization.

42412340323217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 42412340323217 in words is "forty-two trillion, four hundred twelve billion, three hundred forty million, three hundred twenty-three thousand, two hundred seventeen".