434412223332 has 192 divisors, whose sum is σ = 1152948142080. Its totient is φ = 126469085184.

The previous prime is 434412223261. The next prime is 434412223339. The reversal of 434412223332 is 233322214434.

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 = 434412223293 and 434412223302.

It is not an unprimeable number, because it can be changed into a prime (434412223339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161670493 + ... + 161673179.

It is an arithmetic number, because the mean of its divisors is an integer number (6004938240).

Almost surely, 2^434412223332 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 434412223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576474071040).

434412223332 is an abundant number, since it is smaller than the sum of its proper divisors (718535918748).

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

434412223332 is a wasteful number, since it uses less digits than its factorization.

434412223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3568 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 434412223332 its reverse (233322214434), we get a palindrome (667734437766).

The spelling of 434412223332 in words is "four hundred thirty-four billion, four hundred twelve million, two hundred twenty-three thousand, three hundred thirty-two".