4234134430000 has 200 divisors, whose sum is σ = 10391099721200. Its totient is φ = 1670689152000.

The previous prime is 4234134429929. The next prime is 4234134430007. The reversal of 4234134430000 is 344314324.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×4234134430000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4234134430007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 249601519 + ... + 249618481.

It is an arithmetic number, because the mean of its divisors is an integer number (51955498606).

Almost surely, 2^{4234134430000} is an apocalyptic number.

4234134430000 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 4234134430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195549860600).

4234134430000 is an abundant number, since it is smaller than the sum of its proper divisors (6156965291200).

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

4234134430000 is a wasteful number, since it uses less digits than its factorization.

4234134430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17329 (or 17308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4234134430000 its reverse (344314324), we get a palindrome (4234478744324).

The spelling of 4234134430000 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-four million, four hundred thirty thousand".