12441041340 has 192 divisors, whose sum is σ = 42930585600. Its totient is φ = 2621445120.

The previous prime is 12441041321. The next prime is 12441041359. The reversal of 12441041340 is 4314014421.

It is an interprime number because it is at equal distance from previous prime (12441041321) and next prime (12441041359).

It is a self number, because there is not a number n which added to its sum of digits gives 12441041340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8030886 + ... + 8032434.

It is an arithmetic number, because the mean of its divisors is an integer number (223596800).

Almost surely, 2^12441041340 is an apocalyptic number.

12441041340 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 12441041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465292800).

12441041340 is an abundant number, since it is smaller than the sum of its proper divisors (30489544260).

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

12441041340 is a wasteful number, since it uses less digits than its factorization.

12441041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12441041340 its reverse (4314014421), we get a palindrome (16755055761).

The spelling of 12441041340 in words is "twelve billion, four hundred forty-one million, forty-one thousand, three hundred forty".