434224232000 has 224 divisors, whose sum is σ = 1159886407680. Its totient is φ = 160078387200.

The previous prime is 434224231981. The next prime is 434224232003. The reversal of 434224232000 is 232422434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (434224232003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74773097 + ... + 74778903.

It is an arithmetic number, because the mean of its divisors is an integer number (5178064320).

Almost surely, 2^434224232000 is an apocalyptic number.

434224232000 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 434224232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579943203840).

434224232000 is an abundant number, since it is smaller than the sum of its proper divisors (725662175680).

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

434224232000 is a wasteful number, since it uses less digits than its factorization.

434224232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 434224232000 its reverse (232422434), we get a palindrome (434456654434).

The spelling of 434224232000 in words is "four hundred thirty-four billion, two hundred twenty-four million, two hundred thirty-two thousand".