234414341200 has 120 divisors (see below), whose sum is σ = 607598408088. Its totient is φ = 86396528640.

The previous prime is 234414341191. The next prime is 234414341209. The reversal of 234414341200 is 2143414432.

234414341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234414341191) and next prime (234414341209).

It can be written as a sum of positive squares in 12 ways, for example, as 170777215504 + 63637125696 = 413252^2 + 252264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234414341209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855934 + ... + 2936866.

Almost surely, 2^234414341200 is an apocalyptic number.

234414341200 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 234414341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303799204044).

234414341200 is an abundant number, since it is smaller than the sum of its proper divisors (373184066888).

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

234414341200 is a wasteful number, since it uses less digits than its factorization.

234414341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81521 (or 81510 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 234414341200 its reverse (2143414432), we get a palindrome (236557755632).

The spelling of 234414341200 in words is "two hundred thirty-four billion, four hundred fourteen million, three hundred forty-one thousand, two hundred".