12309261440 has 256 divisors, whose sum is σ = 35636613120. Its totient is φ = 3974344704.

The previous prime is 12309261403. The next prime is 12309261467. The reversal of 12309261440 is 4416290321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12309261397 and 12309261406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6902789 + ... + 6904571.

It is an arithmetic number, because the mean of its divisors is an integer number (139205520).

Almost surely, 2^12309261440 is an apocalyptic number.

12309261440 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 12309261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818306560).

12309261440 is an abundant number, since it is smaller than the sum of its proper divisors (23327351680).

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

12309261440 is a wasteful number, since it uses less digits than its factorization.

12309261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12309261440 in words is "twelve billion, three hundred nine million, two hundred sixty-one thousand, four hundred forty".