42134243124 has 96 divisors (see below), whose sum is σ = 100973537280. Its totient is φ = 13670608000.

The previous prime is 42134243093. The next prime is 42134243131.

42134243124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42134243091 and 42134243100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56707897 + ... + 56708639.

It is an arithmetic number, because the mean of its divisors is an integer number (1051807680).

Almost surely, 2^42134243124 is an apocalyptic number.

It is an amenable number.

42134243124 is an abundant number, since it is smaller than the sum of its proper divisors (58839294156).

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

42134243124 is a wasteful number, since it uses less digits than its factorization.

42134243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 42134243124 in words is "forty-two billion, one hundred thirty-four million, two hundred forty-three thousand, one hundred twenty-four".