42117671124 has 18 divisors (see below), whose sum is σ = 106464113210. Its totient is φ = 14039223696.

The previous prime is 42117671117. The next prime is 42117671129.

42117671124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 36684507024 + 5433164100 = 191532^2 + 73710^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1169935309 = 42117671124 / (4 + 2 + 1 + 1 + 7 + 6 + 7 + 1 + 1 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117671129) 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 5 ways as a sum of consecutive naturals, for example, 584967619 + ... + 584967690.

Almost surely, 2^42117671124 is an apocalyptic number.

It is an amenable number.

42117671124 is an abundant number, since it is smaller than the sum of its proper divisors (64346442086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42117671124 is a wasteful number, since it uses less digits than its factorization.

42117671124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169935319 (or 1169935314 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The spelling of 42117671124 in words is "forty-two billion, one hundred seventeen million, six hundred seventy-one thousand, one hundred twenty-four".