8005218374400 has 864 divisors, whose sum is σ = 30320799344640. Its totient is φ = 1844675543040.

The previous prime is 8005218374333. The next prime is 8005218374407. The reversal of 8005218374400 is 44738125008.

It is not an unprimeable number, because it can be changed into a prime (8005218374407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 269802766 + ... + 269832434.

It is an arithmetic number, because the mean of its divisors is an integer number (35093517760).

Almost surely, 2^{8005218374400} is an apocalyptic number.

8005218374400 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 8005218374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160399672320).

8005218374400 is an abundant number, since it is smaller than the sum of its proper divisors (22315580970240).

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

8005218374400 is a wasteful number, since it uses less digits than its factorization.

8005218374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29781 (or 29762 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 8005218374400 in words is "eight trillion, five billion, two hundred eighteen million, three hundred seventy-four thousand, four hundred".