42134200243124 has 192 divisors, whose sum is σ = 84045237534720. Its totient is φ = 18315093888000.

The previous prime is 42134200243061. The next prime is 42134200243127.

It is a happy number.

42134200243124 is nontrivially palindromic in base 10.

42134200243124 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134200243127) 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, 18835135334 + ... + 18835137570.

It is an arithmetic number, because the mean of its divisors is an integer number (437735612160).

Almost surely, 2^{42134200243124} is an apocalyptic number.

42134200243124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42134200243124 is a deficient number, since it is larger than the sum of its proper divisors (41911037291596).

42134200243124 is a wasteful number, since it uses less digits than its factorization.

42134200243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 42134200 and 243124, that added together give a palindrome (42377324).

The spelling of 42134200243124 in words is "forty-two trillion, one hundred thirty-four billion, two hundred million, two hundred forty-three thousand, one hundred twenty-four".