234200431410 has 128 divisors (see below), whose sum is σ = 620718336000. Its totient is φ = 56081963520.

The previous prime is 234200431403. The next prime is 234200431427. The reversal of 234200431410 is 14134002432.

234200431410 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234200431410² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9115302 + ... + 9140958.

It is an arithmetic number, because the mean of its divisors is an integer number (4849362000).

Almost surely, 2^234200431410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234200431410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310359168000).

234200431410 is an abundant number, since it is smaller than the sum of its proper divisors (386517904590).

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

234200431410 is a wasteful number, since it uses less digits than its factorization.

234200431410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26016.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234200431410 its reverse (14134002432), we get a palindrome (248334433842).

The spelling of 234200431410 in words is "two hundred thirty-four billion, two hundred million, four hundred thirty-one thousand, four hundred ten".