434050324224 has 144 divisors (see below), whose sum is σ = 1265640090624. Its totient is φ = 130965299200.

The previous prime is 434050324139. The next prime is 434050324237. The reversal of 434050324224 is 422423050434.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1858129 + ... + 2078639.

It is an arithmetic number, because the mean of its divisors is an integer number (8789167296).

Almost surely, 2^434050324224 is an apocalyptic number.

434050324224 is a gapful number since it is divisible by the number (44) 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 434050324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632820045312).

434050324224 is an abundant number, since it is smaller than the sum of its proper divisors (831589766400).

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

434050324224 is a wasteful number, since it uses less digits than its factorization.

434050324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220774 (or 220760 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 434050324224 its reverse (422423050434), we get a palindrome (856473374658).

The spelling of 434050324224 in words is "four hundred thirty-four billion, fifty million, three hundred twenty-four thousand, two hundred twenty-four".