12854240440 has 64 divisors (see below), whose sum is σ = 29360309760. Its totient is φ = 5063936640.

The previous prime is 12854240429. The next prime is 12854240519. The reversal of 12854240440 is 4404245821.

12854240440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12854240396 and 12854240405.

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 15 ways as a sum of consecutive naturals, for example, 3710149 + ... + 3713611.

It is an arithmetic number, because the mean of its divisors is an integer number (458754840).

Almost surely, 2^12854240440 is an apocalyptic number.

12854240440 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 12854240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680154880).

12854240440 is an abundant number, since it is smaller than the sum of its proper divisors (16506069320).

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

12854240440 is a wasteful number, since it uses less digits than its factorization.

12854240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 12854240440 in words is "twelve billion, eight hundred fifty-four million, two hundred forty thousand, four hundred forty".