12802321410 has 384 divisors, whose sum is σ = 37346918400. Its totient is φ = 2791895040.

The previous prime is 12802321403. The next prime is 12802321421. The reversal of 12802321410 is 1412320821.

12802321410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117452436 + ... + 117452544.

It is an arithmetic number, because the mean of its divisors is an integer number (97257600).

Almost surely, 2^12802321410 is an apocalyptic number.

12802321410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12802321410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673459200).

12802321410 is an abundant number, since it is smaller than the sum of its proper divisors (24544596990).

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

12802321410 is a wasteful number, since it uses less digits than its factorization.

12802321410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12802321410 in words is "twelve billion, eight hundred two million, three hundred twenty-one thousand, four hundred ten".