4242336332424 has 128 divisors (see below), whose sum is σ = 10987534656000. Its totient is φ = 1364039168000.

The previous prime is 4242336332417. The next prime is 4242336332467.

4242336332424 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71427412 + ... + 71486780.

It is an arithmetic number, because the mean of its divisors is an integer number (85840114500).

Almost surely, 2^{4242336332424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242336332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493767328000).

4242336332424 is an abundant number, since it is smaller than the sum of its proper divisors (6745198323576).

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

4242336332424 is a wasteful number, since it uses less digits than its factorization.

4242336332424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60239 (or 60235 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 42.

The spelling of 4242336332424 in words is "four trillion, two hundred forty-two billion, three hundred thirty-six million, three hundred thirty-two thousand, four hundred twenty-four".