230034214410 has 1024 divisors, whose sum is σ = 807509606400. Its totient is φ = 40747069440.

The previous prime is 230034214369. The next prime is 230034214457. The reversal of 230034214410 is 14412430032.

230034214410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 3898884961 + ... + 3898885019.

It is an arithmetic number, because the mean of its divisors is an integer number (788583600).

Almost surely, 2^230034214410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230034214410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403754803200).

230034214410 is an abundant number, since it is smaller than the sum of its proper divisors (577475391990).

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

230034214410 is a wasteful number, since it uses less digits than its factorization.

230034214410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

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

Adding to 230034214410 its reverse (14412430032), we get a palindrome (244446644442).

It can be divided in two parts, 230034 and 214410, that added together give a palindrome (444444).

The spelling of 230034214410 in words is "two hundred thirty billion, thirty-four million, two hundred fourteen thousand, four hundred ten".