4042414302413 has 2 divisors, whose sum is σ = 4042414302414. Its totient is φ = 4042414302412.

The previous prime is 4042414302403. The next prime is 4042414302419. The reversal of 4042414302413 is 3142034142404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2990398942729 + 1052015359684 = 1729277^2 + 1025678^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4042414302413 is a prime.

It is a super-2 number, since 2×4042414302413² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4042414302413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042414302419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021207151206 + 2021207151207.

It is an arithmetic number, because the mean of its divisors is an integer number (2021207151207).

Almost surely, 2^{4042414302413} is an apocalyptic number.

It is an amenable number.

4042414302413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042414302413 is an equidigital number, since it uses as much as digits as its factorization.

4042414302413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4042414302413 its reverse (3142034142404), we get a palindrome (7184448444817).

The spelling of 4042414302413 in words is "four trillion, forty-two billion, four hundred fourteen million, three hundred two thousand, four hundred thirteen".