42442142102029 has 16 divisors (see below), whose sum is σ = 45525787812288. Its totient is φ = 39424689545472.

The previous prime is 42442142101981. The next prime is 42442142102047. The reversal of 42442142102029 is 92020124124424.

It is a happy number.

42442142102029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42442142102029 - 2¹⁷ = 42442141970957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442142102629) 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 in 15 ways as a sum of consecutive naturals, for example, 13678227 + ... + 16491760.

It is an arithmetic number, because the mean of its divisors is an integer number (2845361738268).

Almost surely, 2^{42442142102029} is an apocalyptic number.

It is an amenable number.

42442142102029 is a deficient number, since it is larger than the sum of its proper divisors (3083645710259).

42442142102029 is a wasteful number, since it uses less digits than its factorization.

42442142102029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30171084.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 42442142102029 in words is "forty-two trillion, four hundred forty-two billion, one hundred forty-two million, one hundred two thousand, twenty-nine".