12440571083136 has 768 divisors, whose sum is σ = 44982611020800. Its totient is φ = 3304305377280.

The previous prime is 12440571083111. The next prime is 12440571083167. The reversal of 12440571083136 is 63138017504421.

12440571083136 is a `hidden beast` number, since 1 + 2 + 4 + 40 + 571 + 0 + 8 + 3 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12440571083091 and 12440571083100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2833195501 + ... + 2833199891.

It is an arithmetic number, because the mean of its divisors is an integer number (58571108100).

Almost surely, 2^{12440571083136} is an apocalyptic number.

12440571083136 is a gapful number since it is divisible by the number (16) 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 12440571083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491305510400).

12440571083136 is an abundant number, since it is smaller than the sum of its proper divisors (32542039937664).

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

12440571083136 is an equidigital number, since it uses as much as digits as its factorization.

12440571083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 12440571083136 its reverse (63138017504421), we get a palindrome (75578588587557).

The spelling of 12440571083136 in words is "twelve trillion, four hundred forty billion, five hundred seventy-one million, eighty-three thousand, one hundred thirty-six".