10142410040417 has 2 divisors, whose sum is σ = 10142410040418. Its totient is φ = 10142410040416.

The previous prime is 10142410040297. The next prime is 10142410040431. The reversal of 10142410040417 is 71404001424101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7591876472896 + 2550533567521 = 2755336^2 + 1597039^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142410040417 - 2¹⁶ = 10142409974881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10142410040417.

It is not a weakly prime, because it can be changed into another prime (10142410049417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071205020208 + 5071205020209.

It is an arithmetic number, because the mean of its divisors is an integer number (5071205020209).

Almost surely, 2^{10142410040417} is an apocalyptic number.

It is an amenable number.

10142410040417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142410040417 is an equidigital number, since it uses as much as digits as its factorization.

10142410040417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3584, while the sum is 29.

Adding to 10142410040417 its reverse (71404001424101), we get a palindrome (81546411464518).

The spelling of 10142410040417 in words is "ten trillion, one hundred forty-two billion, four hundred ten million, forty thousand, four hundred seventeen".