42134344343124 has 144 divisors (see below), whose sum is σ = 108275556211200. Its totient is φ = 12742948961600.

The previous prime is 42134344343123. The next prime is 42134344343141.

42134344343124 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42134344343124³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134344343123) 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 47 ways as a sum of consecutive naturals, for example, 5081933419 + ... + 5081941709.

It is an arithmetic number, because the mean of its divisors is an integer number (751913584800).

Almost surely, 2^{42134344343124} is an apocalyptic number.

42134344343124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134344343124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137778105600).

42134344343124 is an abundant number, since it is smaller than the sum of its proper divisors (66141211868076).

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

42134344343124 is a wasteful number, since it uses less digits than its factorization.

42134344343124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14749 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4213434 and 4343124, that added together give a palindrome (8556558).

The spelling of 42134344343124 in words is "forty-two trillion, one hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, one hundred twenty-four".