434224002320 has 80 divisors (see below), whose sum is σ = 1031258780928. Its totient is φ = 169959828480.

The previous prime is 434224002319. The next prime is 434224002323. The reversal of 434224002320 is 23200422434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 434224002320.

It is not an unprimeable number, because it can be changed into a prime (434224002323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26977475 + ... + 26993565.

Almost surely, 2^434224002320 is an apocalyptic number.

434224002320 is a gapful number since it is divisible by the number (40) 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 434224002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515629390464).

434224002320 is an abundant number, since it is smaller than the sum of its proper divisors (597034778608).

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

434224002320 is a wasteful number, since it uses less digits than its factorization.

434224002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23328 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 434224002320 its reverse (23200422434), we get a palindrome (457424424754).

The spelling of 434224002320 in words is "four hundred thirty-four billion, two hundred twenty-four million, two thousand, three hundred twenty".