434242441220 has 144 divisors (see below), whose sum is σ = 1094067233280. Its totient is φ = 141808305408.

The previous prime is 434242441181. The next prime is 434242441223. The reversal of 434242441220 is 22144242434.

It is not an unprimeable number, because it can be changed into a prime (434242441223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17688074 + ... + 17712606.

It is an arithmetic number, because the mean of its divisors is an integer number (7597689120).

Almost surely, 2^434242441220 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 434242441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547033616640).

434242441220 is an abundant number, since it is smaller than the sum of its proper divisors (659824792060).

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

434242441220 is a wasteful number, since it uses less digits than its factorization.

434242441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24834 (or 24809 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 434242441220 its reverse (22144242434), we get a palindrome (456386683654).

The spelling of 434242441220 in words is "four hundred thirty-four billion, two hundred forty-two million, four hundred forty-one thousand, two hundred twenty".