434241444324 has 96 divisors (see below), whose sum is σ = 1103636451456. Its totient is φ = 132333004800.

The previous prime is 434241444319. The next prime is 434241444353. The reversal of 434241444324 is 423444142434.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4579999 + ... + 4673849.

It is an arithmetic number, because the mean of its divisors is an integer number (11496213036).

Almost surely, 2^434241444324 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 434241444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551818225728).

434241444324 is an abundant number, since it is smaller than the sum of its proper divisors (669395007132).

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

434241444324 is a wasteful number, since it uses less digits than its factorization.

434241444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94525 (or 94523 counting only the distinct ones).

The product of its digits is 589824, while the sum is 39.

Adding to 434241444324 its reverse (423444142434), we get a palindrome (857685586758).

The spelling of 434241444324 in words is "four hundred thirty-four billion, two hundred forty-one million, four hundred forty-four thousand, three hundred twenty-four".