42142300324124 has 96 divisors (see below), whose sum is σ = 99053807440896. Its totient is φ = 15150847034880.

The previous prime is 42142300324123. The next prime is 42142300324147.

It is a happy number.

42142300324124 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142300324123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9810824 + ... + 13436400.

It is an arithmetic number, because the mean of its divisors is an integer number (1031810494176).

Almost surely, 2^{42142300324124} is an apocalyptic number.

42142300324124 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 42142300324124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49526903720448).

42142300324124 is an abundant number, since it is smaller than the sum of its proper divisors (56911507116772).

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

42142300324124 is a wasteful number, since it uses less digits than its factorization.

42142300324124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628515 (or 3628513 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, 42142300 and 324124, that added together give a palindrome (42466424).

The spelling of 42142300324124 in words is "forty-two trillion, one hundred forty-two billion, three hundred million, three hundred twenty-four thousand, one hundred twenty-four".