12441332134040 has 128 divisors (see below), whose sum is σ = 28699704069120. Its totient is φ = 4852875456000.

The previous prime is 12441332133953. The next prime is 12441332134103. The reversal of 12441332134040 is 4043123314421.

It is a junction number, because it is equal to n+sod(n) for n = 12441332133988 and 12441332134006.

It is a congruent number.

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, 78628205 + ... + 78786275.

It is an arithmetic number, because the mean of its divisors is an integer number (224216438040).

Almost surely, 2^{12441332134040} is an apocalyptic number.

12441332134040 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 12441332134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349852034560).

12441332134040 is an abundant number, since it is smaller than the sum of its proper divisors (16258371935080).

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

12441332134040 is a wasteful number, since it uses less digits than its factorization.

12441332134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158473 (or 158469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12441332134040 its reverse (4043123314421), we get a palindrome (16484455448461).

The spelling of 12441332134040 in words is "twelve trillion, four hundred forty-one billion, three hundred thirty-two million, one hundred thirty-four thousand, forty".