320124230440 has 96 divisors (see below), whose sum is σ = 839744577000. Its totient is φ = 109512130560.

The previous prime is 320124230429. The next prime is 320124230441. The reversal of 320124230440 is 44032421023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 281878170084 + 38246060356 = 530922^2 + 195566^2 .

It is a super-3 number, since 3×320124230440³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (320124230441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698160 + ... + 1061920.

Almost surely, 2^320124230440 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 320124230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419872288500).

320124230440 is an abundant number, since it is smaller than the sum of its proper divisors (519620346560).

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

320124230440 is a wasteful number, since it uses less digits than its factorization.

320124230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364235 (or 364224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 320124230440 its reverse (44032421023), we get a palindrome (364156651463).

It can be divided in two parts, 320124 and 230440, that added together give a square (550564 = 742²).

The spelling of 320124230440 in words is "three hundred twenty billion, one hundred twenty-four million, two hundred thirty thousand, four hundred forty".