866440102418112 has 896 divisors, whose sum is σ = 2435443501252608. Its totient is φ = 271597171507200.

The previous prime is 866440102418017. The next prime is 866440102418131. The reversal of 866440102418112 is 211814201044668.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 2617643813787 + ... + 2617643814117.

It is an arithmetic number, because the mean of its divisors is an integer number (2718128907648).

Almost surely, 2^{866440102418112} is an apocalyptic number.

866440102418112 is a gapful number since it is divisible by the number (82) 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 866440102418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217721750626304).

866440102418112 is an abundant number, since it is smaller than the sum of its proper divisors (1569003398834496).

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

866440102418112 is a wasteful number, since it uses less digits than its factorization.

866440102418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 866440102418112 in words is "eight hundred sixty-six trillion, four hundred forty billion, one hundred two million, four hundred eighteen thousand, one hundred twelve".