4042134412033 has 2 divisors, whose sum is σ = 4042134412034. Its totient is φ = 4042134412032.

The previous prime is 4042134412031. The next prime is 4042134412123. The reversal of 4042134412033 is 3302144312404.

4042134412033 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3228371652289 + 813762759744 = 1796767^2 + 902088^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042134412033 - 2¹ = 4042134412031 is a prime.

Together with 4042134412031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 4042134411986 and 4042134412004.

It is not a weakly prime, because it can be changed into another prime (4042134412031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021067206016 + 2021067206017.

It is an arithmetic number, because the mean of its divisors is an integer number (2021067206017).

Almost surely, 2^{4042134412033} is an apocalyptic number.

It is an amenable number.

4042134412033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042134412033 is an equidigital number, since it uses as much as digits as its factorization.

4042134412033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4042134412033 its reverse (3302144312404), we get a palindrome (7344278724437).

The spelling of 4042134412033 in words is "four trillion, forty-two billion, one hundred thirty-four million, four hundred twelve thousand, thirty-three".