230011441000 has 512 divisors, whose sum is σ = 628969536000. Its totient is φ = 78601600000.

The previous prime is 230011440907. The next prime is 230011441081. The reversal of 230011441000 is 144110032.

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 127 ways as a sum of consecutive naturals, for example, 2277340950 + ... + 2277341050.

It is an arithmetic number, because the mean of its divisors is an integer number (1228456125).

Almost surely, 2^230011441000 is an apocalyptic number.

230011441000 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 230011441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314484768000).

230011441000 is an abundant number, since it is smaller than the sum of its proper divisors (398958095000).

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

230011441000 is a wasteful number, since it uses less digits than its factorization.

230011441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 230011441000 its reverse (144110032), we get a palindrome (230155551032).

The spelling of 230011441000 in words is "two hundred thirty billion, eleven million, four hundred forty-one thousand".