424212212424 has 512 divisors, whose sum is σ = 1456757084160. Its totient is φ = 99380736000.

The previous prime is 424212212423. The next prime is 424212212449.

424212212424 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 424212212391 and 424212212400.

It is not an unprimeable number, because it can be changed into a prime (424212212423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403626699 + ... + 403627749.

It is an arithmetic number, because the mean of its divisors is an integer number (2845228680).

Almost surely, 2^424212212424 is an apocalyptic number.

424212212424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424212212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728378542080).

424212212424 is an abundant number, since it is smaller than the sum of its proper divisors (1032544871736).

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

424212212424 is a wasteful number, since it uses less digits than its factorization.

424212212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 424212 and 212424, that added together give a palindrome (636636).

The spelling of 424212212424 in words is "four hundred twenty-four billion, two hundred twelve million, two hundred twelve thousand, four hundred twenty-four".