434224230000 has 1200 divisors, whose sum is σ = 1638677180448. Its totient is φ = 98841600000.

The previous prime is 434224229977. The next prime is 434224230031. The reversal of 434224230000 is 32422434.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7118429970 + ... + 7118430030.

Almost surely, 2^434224230000 is an apocalyptic number.

434224230000 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 434224230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819338590224).

434224230000 is an abundant number, since it is smaller than the sum of its proper divisors (1204452950448).

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

434224230000 is a wasteful number, since it uses less digits than its factorization.

434224230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 434224230000 its reverse (32422434), we get a palindrome (434256652434).

The spelling of 434224230000 in words is "four hundred thirty-four billion, two hundred twenty-four million, two hundred thirty thousand".