320313042144 has 144 divisors (see below), whose sum is σ = 921622665600. Its totient is φ = 105520382208.

The previous prime is 320313042109. The next prime is 320313042151. The reversal of 320313042144 is 441240313023.

320313042144 is a `hidden beast` number, since 3 + 203 + 1 + 30 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8383917 + ... + 8422035.

It is an arithmetic number, because the mean of its divisors is an integer number (6400157400).

Almost surely, 2^320313042144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320313042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460811332800).

320313042144 is an abundant number, since it is smaller than the sum of its proper divisors (601309623456).

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

320313042144 is a wasteful number, since it uses less digits than its factorization.

320313042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38477 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 320313042144 its reverse (441240313023), we get a palindrome (761553355167).

The spelling of 320313042144 in words is "three hundred twenty billion, three hundred thirteen million, forty-two thousand, one hundred forty-four".