42205906967 has 16 divisors (see below), whose sum is σ = 48916915200. Its totient is φ = 35668298400.

The previous prime is 42205906931. The next prime is 42205906969. The reversal of 42205906967 is 76960950224.

It is not a de Polignac number, because 42205906967 - 2⁸ = 42205906711 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 (42205906969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44084 + ... + 293862.

It is an arithmetic number, because the mean of its divisors is an integer number (3057307200).

Almost surely, 2^42205906967 is an apocalyptic number.

42205906967 is a deficient number, since it is larger than the sum of its proper divisors (6711008233).

42205906967 is a wasteful number, since it uses less digits than its factorization.

42205906967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250126.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 42205906967 in words is "forty-two billion, two hundred five million, nine hundred six thousand, nine hundred sixty-seven".