12277725440 has 144 divisors (see below), whose sum is σ = 29881971840. Its totient is φ = 4832870400.

The previous prime is 12277725409. The next prime is 12277725443. The reversal of 12277725440 is 4452777221.

12277725440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12277725443) 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 15 ways as a sum of consecutive naturals, for example, 26865692 + ... + 26866148.

Almost surely, 2^12277725440 is an apocalyptic number.

12277725440 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 12277725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940985920).

12277725440 is an abundant number, since it is smaller than the sum of its proper divisors (17604246400).

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

12277725440 is a wasteful number, since it uses less digits than its factorization.

12277725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 41.

The spelling of 12277725440 in words is "twelve billion, two hundred seventy-seven million, seven hundred twenty-five thousand, four hundred forty".