424314040413424 has 80 divisors (see below), whose sum is σ = 989082605574400. Its totient is φ = 172263953428992.

The previous prime is 424314040413421. The next prime is 424314040413427.

424314040413424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (424314040413421) and next prime (424314040413427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424314040413421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18288724 + ... + 34396300.

It is an arithmetic number, because the mean of its divisors is an integer number (12363532569680).

Almost surely, 2^{424314040413424} is an apocalyptic number.

It is an amenable number.

424314040413424 is an abundant number, since it is smaller than the sum of its proper divisors (564768565160976).

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

424314040413424 is a wasteful number, since it uses less digits than its factorization.

424314040413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16119990 (or 16119984 counting only the distinct ones).

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

The spelling of 424314040413424 in words is "four hundred twenty-four trillion, three hundred fourteen billion, forty million, four hundred thirteen thousand, four hundred twenty-four".