434030224000 has 256 divisors, whose sum is σ = 1137988051200. Its totient is φ = 164172902400.

The previous prime is 434030223973. The next prime is 434030224031. The reversal of 434030224000 is 422030434.

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, 234991077 + ... + 234992923.

It is an arithmetic number, because the mean of its divisors is an integer number (4445265825).

Almost surely, 2^434030224000 is an apocalyptic number.

434030224000 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 434030224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568994025600).

434030224000 is an abundant number, since it is smaller than the sum of its proper divisors (703957827200).

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

434030224000 is a wasteful number, since it uses less digits than its factorization.

434030224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 434030224000 its reverse (422030434), we get a palindrome (434452254434).

The spelling of 434030224000 in words is "four hundred thirty-four billion, thirty million, two hundred twenty-four thousand".