424322404223424 has 224 divisors, whose sum is σ = 1284184574323200. Its totient is φ = 121129707847680.

The previous prime is 424322404223381. The next prime is 424322404223429.

424322404223424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424322404223429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10035749164 + ... + 10035791444.

Almost surely, 2^{424322404223424} 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 424322404223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642092287161600).

424322404223424 is an abundant number, since it is smaller than the sum of its proper divisors (859862170099776).

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

424322404223424 is a wasteful number, since it uses less digits than its factorization.

424322404223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48611 (or 48601 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 42432240 and 4223424, that added together give a palindrome (46655664).

The spelling of 424322404223424 in words is "four hundred twenty-four trillion, three hundred twenty-two billion, four hundred four million, two hundred twenty-three thousand, four hundred twenty-four".