320030144010 has 96 divisors (see below), whose sum is σ = 876284136000. Its totient is φ = 80811675648.

The previous prime is 320030144009. The next prime is 320030144039. The reversal of 320030144010 is 10441030023.

320030144010 is a `hidden beast` number, since 320 + 0 + 301 + 4 + 40 + 1 + 0 = 666.

It is a super-3 number, since 3×320030144010³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3683146 + ... + 3769034.

It is an arithmetic number, because the mean of its divisors is an integer number (9127959750).

Almost surely, 2^320030144010 is an apocalyptic number.

320030144010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320030144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438142068000).

320030144010 is an abundant number, since it is smaller than the sum of its proper divisors (556253991990).

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

320030144010 is a wasteful number, since it uses less digits than its factorization.

320030144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88100 (or 88097 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320030144010 its reverse (10441030023), we get a palindrome (330471174033).

The spelling of 320030144010 in words is "three hundred twenty billion, thirty million, one hundred forty-four thousand, ten".