42125117067 has 64 divisors (see below), whose sum is σ = 71745592320. Its totient is φ = 24178176000.

The previous prime is 42125117059. The next prime is 42125117093. The reversal of 42125117067 is 76071152124.

42125117067 is a `hidden beast` number, since 4 + 2 + 12 + 511 + 70 + 67 = 666.

It is not a de Polignac number, because 42125117067 - 2³ = 42125117059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42125117267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659403 + ... + 720459.

It is an arithmetic number, because the mean of its divisors is an integer number (1121024880).

Almost surely, 2^42125117067 is an apocalyptic number.

42125117067 is a deficient number, since it is larger than the sum of its proper divisors (29620475253).

42125117067 is a wasteful number, since it uses less digits than its factorization.

42125117067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61201 (or 61195 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 42125117067 in words is "forty-two billion, one hundred twenty-five million, one hundred seventeen thousand, sixty-seven".