424314141413424 has 20 divisors (see below), whose sum is σ = 1096144865318136. Its totient is φ = 141438047137792.

The previous prime is 424314141413363. The next prime is 424314141413443.

424314141413424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424314141413424² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4419938973009 + ... + 4419938973104.

Almost surely, 2^{424314141413424} is an apocalyptic number.

It is an amenable number.

424314141413424 is an abundant number, since it is smaller than the sum of its proper divisors (671830723904712).

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

424314141413424 is a wasteful number, since it uses less digits than its factorization.

424314141413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839877946124 (or 8839877946118 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 424314141413424 in words is "four hundred twenty-four trillion, three hundred fourteen billion, one hundred forty-one million, four hundred thirteen thousand, four hundred twenty-four".