234130414400 has 84 divisors (see below), whose sum is σ = 576781208640. Its totient is φ = 93542592000.

The previous prime is 234130414361. The next prime is 234130414421. The reversal of 234130414400 is 4414031432.

It is a self number, because there is not a number n which added to its sum of digits gives 234130414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289225 + ... + 1459575.

It is an arithmetic number, because the mean of its divisors is an integer number (6866442960).

Almost surely, 2^234130414400 is an apocalyptic number.

234130414400 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 234130414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288390604320).

234130414400 is an abundant number, since it is smaller than the sum of its proper divisors (342650794240).

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

234130414400 is a wasteful number, since it uses less digits than its factorization.

234130414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171232 (or 171217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 234130414400 its reverse (4414031432), we get a palindrome (238544445832).

The spelling of 234130414400 in words is "two hundred thirty-four billion, one hundred thirty million, four hundred fourteen thousand, four hundred".