42033033412309 has 2 divisors, whose sum is σ = 42033033412310. Its totient is φ = 42033033412308.

The previous prime is 42033033412301. The next prime is 42033033412333. The reversal of 42033033412309 is 90321433033024.

It is a happy number.

42033033412309 is digitally balanced in base 2, 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., 25060816942084 + 16972216470225 = 5006078^2 + 4119735^2 .

It is a cyclic number.

It is not a de Polignac number, because 42033033412309 - 2³ = 42033033412301 is a prime.

It is a super-2 number, since 2×42033033412309² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42033033412301) 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, 21016516706154 + 21016516706155.

It is an arithmetic number, because the mean of its divisors is an integer number (21016516706155).

Almost surely, 2^{42033033412309} is an apocalyptic number.

It is an amenable number.

42033033412309 is a deficient number, since it is larger than the sum of its proper divisors (1).

42033033412309 is an equidigital number, since it uses as much as digits as its factorization.

42033033412309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 42033033412309 in words is "forty-two trillion, thirty-three billion, thirty-three million, four hundred twelve thousand, three hundred nine".