424213312424 has 96 divisors (see below), whose sum is σ = 908428197600. Its totient is φ = 185352182400.

The previous prime is 424213312421. The next prime is 424213312429.

It is a happy number.

424213312424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (424213312421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6339059 + ... + 6405629.

It is an arithmetic number, because the mean of its divisors is an integer number (9462793725).

Almost surely, 2^424213312424 is an apocalyptic number.

424213312424 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 424213312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454214098800).

424213312424 is an abundant number, since it is smaller than the sum of its proper divisors (484214885176).

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

424213312424 is a wasteful number, since it uses less digits than its factorization.

424213312424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66855 (or 66840 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 424213 and 312424, that added together give a palindrome (736637).

The spelling of 424213312424 in words is "four hundred twenty-four billion, two hundred thirteen million, three hundred twelve thousand, four hundred twenty-four".