42167542167 has 16 divisors (see below), whose sum is σ = 63402830080. Its totient is φ = 27692116056.

The previous prime is 42167542129. The next prime is 42167542189. The reversal of 42167542167 is 76124576124.

42167542167 is a `hidden beast` number, since 4 + 2 + 167 + 5 + 421 + 67 = 666.

It is not a de Polignac number, because 42167542167 - 2⁶ = 42167542103 is a prime.

It is a super-2 number, since 2×42167542167² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167542127) 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, 11653123 + ... + 11656740.

It is an arithmetic number, because the mean of its divisors is an integer number (3962676880).

Almost surely, 2^42167542167 is an apocalyptic number.

42167542167 is a deficient number, since it is larger than the sum of its proper divisors (21235287913).

42167542167 is a wasteful number, since it uses less digits than its factorization.

42167542167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23309939 (or 23309933 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 42167542167 in words is "forty-two billion, one hundred sixty-seven million, five hundred forty-two thousand, one hundred sixty-seven".