12414313040 has 160 divisors (see below), whose sum is σ = 30681607680. Its totient is φ = 4663672832.

The previous prime is 12414312971. The next prime is 12414313063. The reversal of 12414313040 is 4031341421.

12414313040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12414313040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12414312997 and 12414313015.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28023059 + ... + 28023501.

It is an arithmetic number, because the mean of its divisors is an integer number (191760048).

Almost surely, 2^12414313040 is an apocalyptic number.

12414313040 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 12414313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340803840).

12414313040 is an abundant number, since it is smaller than the sum of its proper divisors (18267294640).

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

12414313040 is a wasteful number, since it uses less digits than its factorization.

12414313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12414313040 its reverse (4031341421), we get a palindrome (16445654461).

The spelling of 12414313040 in words is "twelve billion, four hundred fourteen million, three hundred thirteen thousand, forty".