234310414341432 has 512 divisors, whose sum is σ = 733420904832000. Its totient is φ = 61284317921280.

The previous prime is 234310414341221. The next prime is 234310414341467. The reversal of 234310414341432 is 234143414013432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8659227919 + ... + 8659254977.

It is an arithmetic number, because the mean of its divisors is an integer number (1432462704750).

Almost surely, 2^{234310414341432} is an apocalyptic number.

234310414341432 is a gapful number since it is divisible by the number (22) 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 234310414341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366710452416000).

234310414341432 is an abundant number, since it is smaller than the sum of its proper divisors (499110490490568).

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

234310414341432 is a wasteful number, since it uses less digits than its factorization.

234310414341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28071 (or 28067 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 234310414341432 its reverse (234143414013432), we get a palindrome (468453828354864).

The spelling of 234310414341432 in words is "two hundred thirty-four trillion, three hundred ten billion, four hundred fourteen million, three hundred forty-one thousand, four hundred thirty-two".