42684361276129 has 2 divisors, whose sum is σ = 42684361276130. Its totient is φ = 42684361276128.

The previous prime is 42684361276121. The next prime is 42684361276147. The reversal of 42684361276129 is 92167216348624.

42684361276129 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., 39096594936529 + 3587766339600 = 6252727^2 + 1894140^2 .

It is a cyclic number.

It is not a de Polignac number, because 42684361276129 - 2³ = 42684361276121 is a prime.

It is a super-3 number, since 3×42684361276129³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (42684361276121) 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, 21342180638064 + 21342180638065.

It is an arithmetic number, because the mean of its divisors is an integer number (21342180638065).

Almost surely, 2^{42684361276129} is an apocalyptic number.

It is an amenable number.

42684361276129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42684361276129 is an equidigital number, since it uses as much as digits as its factorization.

42684361276129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41803776, while the sum is 61.

The spelling of 42684361276129 in words is "forty-two trillion, six hundred eighty-four billion, three hundred sixty-one million, two hundred seventy-six thousand, one hundred twenty-nine".