424132242231424 has 64 divisors (see below), whose sum is σ = 854117605144440. Its totient is φ = 209767805485056.

The previous prime is 424132242231391. The next prime is 424132242231437.

424132242231424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 149361835791424 + 274770406440000 = 12221368^2 + 16576200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14136072 + ... + 32374264.

Almost surely, 2^{424132242231424} 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 424132242231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427058802572220).

424132242231424 is an abundant number, since it is smaller than the sum of its proper divisors (429985362913016).

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

424132242231424 is a wasteful number, since it uses less digits than its factorization.

424132242231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18240177 (or 18240165 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 424132242231424 in words is "four hundred twenty-four trillion, one hundred thirty-two billion, two hundred forty-two million, two hundred thirty-one thousand, four hundred twenty-four".