12444104340 has 144 divisors (see below), whose sum is σ = 40703382720. Its totient is φ = 3067061760.

The previous prime is 12444104317. The next prime is 12444104441. The reversal of 12444104340 is 4340144421.

12444104340 is a `hidden beast` number, since 1 + 244 + 410 + 4 + 3 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95847 + ... + 184593.

It is an arithmetic number, because the mean of its divisors is an integer number (282662380).

Almost surely, 2^12444104340 is an apocalyptic number.

12444104340 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 12444104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20351691360).

12444104340 is an abundant number, since it is smaller than the sum of its proper divisors (28259278380).

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

12444104340 is a wasteful number, since it uses less digits than its factorization.

12444104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88822 (or 88817 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12444104340 its reverse (4340144421), we get a palindrome (16784248761).

The spelling of 12444104340 in words is "twelve billion, four hundred forty-four million, one hundred four thousand, three hundred forty".