230204134440 has 288 divisors, whose sum is σ = 872872865280. Its totient is φ = 52616704896.

The previous prime is 230204134427. The next prime is 230204134477. The reversal of 230204134440 is 44431402032.

It is a happy number.

230204134440 is a `hidden beast` number, since 2 + 3 + 0 + 204 + 13 + 4 + 440 = 666.

It is a super-2 number, since 2×230204134440² (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6031497 + ... + 6069543.

It is an arithmetic number, because the mean of its divisors is an integer number (3030808560).

Almost surely, 2^230204134440 is an apocalyptic number.

230204134440 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 230204134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436436432640).

230204134440 is an abundant number, since it is smaller than the sum of its proper divisors (642668730840).

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

230204134440 is an equidigital number, since it uses as much as digits as its factorization.

230204134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38099 (or 38064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230204134440 its reverse (44431402032), we get a palindrome (274635536472).

The spelling of 230204134440 in words is "two hundred thirty billion, two hundred four million, one hundred thirty-four thousand, four hundred forty".