12811885440 has 512 divisors, whose sum is σ = 46302451200. Its totient is φ = 2993946624.

The previous prime is 12811885417. The next prime is 12811885453. The reversal of 12811885440 is 4458811821.

It is a junction number, because it is equal to n+sod(n) for n = 12811885392 and 12811885401.

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, 45271539 + ... + 45271821.

It is an arithmetic number, because the mean of its divisors is an integer number (90434475).

Almost surely, 2^12811885440 is an apocalyptic number.

12811885440 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 12811885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151225600).

12811885440 is an abundant number, since it is smaller than the sum of its proper divisors (33490565760).

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

12811885440 is a wasteful number, since it uses less digits than its factorization.

12811885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 12811885440 in words is "twelve billion, eight hundred eleven million, eight hundred eighty-five thousand, four hundred forty".