4142404033 has 2 divisors, whose sum is σ = 4142404034. Its totient is φ = 4142404032.

The previous prime is 4142404031. The next prime is 4142404039. The reversal of 4142404033 is 3304042414.

4142404033 is digitally balanced in base 3, because in such base 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., 3782619009 + 359785024 = 61503^2 + 18968^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142404033 - 2¹ = 4142404031 is a prime.

It is a super-2 number, since 2×4142404033² = 34319022345229330178, which contains 22 as substring.

Together with 4142404031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 4142403989 and 4142404007.

It is not a weakly prime, because it can be changed into another prime (4142404031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2071202016 + 2071202017.

It is an arithmetic number, because the mean of its divisors is an integer number (2071202017).

Almost surely, 2^4142404033 is an apocalyptic number.

It is an amenable number.

4142404033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142404033 is an equidigital number, since it uses as much as digits as its factorization.

4142404033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4142404033 is about 64361.5104934619. The cubic root of 4142404033 is about 1606.0195167826.

Adding to 4142404033 its reverse (3304042414), we get a palindrome (7446446447).

The spelling of 4142404033 in words is "four billion, one hundred forty-two million, four hundred four thousand, thirty-three".