234401334200 has 192 divisors, whose sum is σ = 602031467520. Its totient is φ = 84165120000.

The previous prime is 234401334179. The next prime is 234401334221. The reversal of 234401334200 is 2433104432.

It is an interprime number because it is at equal distance from previous prime (234401334179) and next prime (234401334221).

It is a self number, because there is not a number n which added to its sum of digits gives 234401334200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120143225 + ... + 120145175.

It is an arithmetic number, because the mean of its divisors is an integer number (3135580560).

Almost surely, 2^234401334200 is an apocalyptic number.

234401334200 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 234401334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301015733760).

234401334200 is an abundant number, since it is smaller than the sum of its proper divisors (367630133320).

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

234401334200 is a wasteful number, since it uses less digits than its factorization.

234401334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 234401334200 its reverse (2433104432), we get a palindrome (236834438632).

The spelling of 234401334200 in words is "two hundred thirty-four billion, four hundred one million, three hundred thirty-four thousand, two hundred".