12320460040 has 96 divisors (see below), whose sum is σ = 32426011800. Its totient is φ = 4200698880.

The previous prime is 12320460037. The next prime is 12320460041. The reversal of 12320460040 is 4006402321.

It is a happy number.

12320460040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2224631556 + 10095828484 = 47166^2 + 100478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12320459993 and 12320460020.

It is not an unprimeable number, because it can be changed into a prime (12320460041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 337396 + ... + 372124.

Almost surely, 2^12320460040 is an apocalyptic number.

12320460040 is a gapful number since it is divisible by the number (10) 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 12320460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213005900).

12320460040 is an abundant number, since it is smaller than the sum of its proper divisors (20105551760).

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

12320460040 is a wasteful number, since it uses less digits than its factorization.

12320460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34935 (or 34924 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12320460040 its reverse (4006402321), we get a palindrome (16326862361).

The spelling of 12320460040 in words is "twelve billion, three hundred twenty million, four hundred sixty thousand, forty".