4042413330041 has 2 divisors, whose sum is σ = 4042413330042. Its totient is φ = 4042413330040.

The previous prime is 4042413329989. The next prime is 4042413330049. The reversal of 4042413330041 is 1400333142404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2025953689600 + 2016459640441 = 1423360^2 + 1420021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4042413330041 is a prime.

It is a super-2 number, since 2×4042413330041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042413329986 and 4042413330013.

It is not a weakly prime, because it can be changed into another prime (4042413330049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021206665020 + 2021206665021.

It is an arithmetic number, because the mean of its divisors is an integer number (2021206665021).

Almost surely, 2^{4042413330041} is an apocalyptic number.

It is an amenable number.

4042413330041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042413330041 is an equidigital number, since it uses as much as digits as its factorization.

4042413330041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4042413330041 its reverse (1400333142404), we get a palindrome (5442746472445).

The spelling of 4042413330041 in words is "four trillion, forty-two billion, four hundred thirteen million, three hundred thirty thousand, forty-one".