4042413442421 has 2 divisors, whose sum is σ = 4042413442422. Its totient is φ = 4042413442420.

The previous prime is 4042413442349. The next prime is 4042413442423. The reversal of 4042413442421 is 1242443142404.

4042413442421 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3350254336900 + 692159105521 = 1830370^2 + 831961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4042413442421 is a prime.

It is a super-2 number, since 2×4042413442421² (a number of 26 digits) contains 22 as substring.

Together with 4042413442423, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042413442423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021206721210 + 2021206721211.

It is an arithmetic number, because the mean of its divisors is an integer number (2021206721211).

Almost surely, 2^{4042413442421} is an apocalyptic number.

It is an amenable number.

4042413442421 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042413442421 is an equidigital number, since it uses as much as digits as its factorization.

4042413442421 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 4042413442421 its reverse (1242443142404), we get a palindrome (5284856584825).

The spelling of 4042413442421 in words is "four trillion, forty-two billion, four hundred thirteen million, four hundred forty-two thousand, four hundred twenty-one".