424211424112424 has 96 divisors (see below), whose sum is σ = 871001700485400. Its totient is φ = 193586865638400.

The previous prime is 424211424112339. The next prime is 424211424112471.

424211424112424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 45520524672100 + 378690899440324 = 6746890^2 + 19459982^2 .

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 23 ways as a sum of consecutive naturals, for example, 97973522 + ... + 102211710.

Almost surely, 2^{424211424112424} 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 424211424112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435500850242700).

424211424112424 is an abundant number, since it is smaller than the sum of its proper divisors (446790276372976).

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

424211424112424 is a wasteful number, since it uses less digits than its factorization.

424211424112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239055 (or 4239038 counting only the distinct ones).

The product of its digits is 131072, while the sum is 38.

The spelling of 424211424112424 in words is "four hundred twenty-four trillion, two hundred eleven billion, four hundred twenty-four million, one hundred twelve thousand, four hundred twenty-four".