4042420420013 has 2 divisors, whose sum is σ = 4042420420014. Its totient is φ = 4042420420012.

The previous prime is 4042420419991. The next prime is 4042420420033. The reversal of 4042420420013 is 3100240242404.

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., 3250599855364 + 791820564649 = 1802942^2 + 889843^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042420420013 - 2¹⁸ = 4042420157869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042420420033) 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, 2021210210006 + 2021210210007.

It is an arithmetic number, because the mean of its divisors is an integer number (2021210210007).

Almost surely, 2^{4042420420013} is an apocalyptic number.

It is an amenable number.

4042420420013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042420420013 is an equidigital number, since it uses as much as digits as its factorization.

4042420420013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4042420420013 its reverse (3100240242404), we get a palindrome (7142660662417).

The spelling of 4042420420013 in words is "four trillion, forty-two billion, four hundred twenty million, four hundred twenty thousand, thirteen".