8218944940800 has 324 divisors, whose sum is σ = 29814245351240. Its totient is φ = 1992470937600.

The previous prime is 8218944940799. The next prime is 8218944940897. The reversal of 8218944940800 is 80494498128.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554316 + ... + 4092084.

Almost surely, 2^{8218944940800} is an apocalyptic number.

8218944940800 is a gapful number since it is divisible by the number (80) 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 8218944940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907122675620).

8218944940800 is an abundant number, since it is smaller than the sum of its proper divisors (21595300410440).

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

8218944940800 is a wasteful number, since it uses less digits than its factorization.

8218944940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537820 (or 3537790 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 8218944940800 in words is "eight trillion, two hundred eighteen billion, nine hundred forty-four million, nine hundred forty thousand, eight hundred".