234400234420 has 144 divisors (see below), whose sum is σ = 565140893184. Its totient is φ = 81449843200.

The previous prime is 234400234357. The next prime is 234400234447. The reversal of 234400234420 is 24432004432.

It is a happy number.

234400234420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95789637 + ... + 95792083.

It is an arithmetic number, because the mean of its divisors is an integer number (3924589536).

Almost surely, 2^234400234420 is an apocalyptic number.

234400234420 is a gapful number since it is divisible by the number (20) 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 234400234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282570446592).

234400234420 is an abundant number, since it is smaller than the sum of its proper divisors (330740658764).

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

234400234420 is a wasteful number, since it uses less digits than its factorization.

234400234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 234400234420 its reverse (24432004432), we get a palindrome (258832238852).

The spelling of 234400234420 in words is "two hundred thirty-four billion, four hundred million, two hundred thirty-four thousand, four hundred twenty".