234413402005200 has 960 divisors, whose sum is σ = 865927097118720. Its totient is φ = 53670650880000.

The previous prime is 234413402005193. The next prime is 234413402005213. The reversal of 234413402005200 is 2500204314432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59390269627 + ... + 59390273573.

It is an arithmetic number, because the mean of its divisors is an integer number (902007392832).

Almost surely, 2^{234413402005200} is an apocalyptic number.

234413402005200 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 234413402005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432963548559360).

234413402005200 is an abundant number, since it is smaller than the sum of its proper divisors (631513695113520).

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

234413402005200 is a wasteful number, since it uses less digits than its factorization.

234413402005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234413402005200 its reverse (2500204314432), we get a palindrome (236913606319632).

The spelling of 234413402005200 in words is "two hundred thirty-four trillion, four hundred thirteen billion, four hundred two million, five thousand, two hundred".