8144795366400 has 2376 divisors, whose sum is σ = 35591299177728. Its totient is φ = 1634992128000.

The previous prime is 8144795366303. The next prime is 8144795366423. The reversal of 8144795366400 is 46635974418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14115762912 + ... + 14115763488.

Almost surely, 2^{8144795366400} is an apocalyptic number.

8144795366400 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 8144795366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795649588864).

8144795366400 is an abundant number, since it is smaller than the sum of its proper divisors (27446503811328).

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

8144795366400 is a wasteful number, since it uses less digits than its factorization.

8144795366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 8144795366400 in words is "eight trillion, one hundred forty-four billion, seven hundred ninety-five million, three hundred sixty-six thousand, four hundred".