8338417940160 has 1848 divisors, whose sum is σ = 37485944421408. Its totient is φ = 1729332633600.

The previous prime is 8338417940159. The next prime is 8338417940179. The reversal of 8338417940160 is 610497148338.

8338417940160 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 4 + 179 + 401 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8338417940097 and 8338417940106.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 16004640700 + ... + 16004641220.

Almost surely, 2^{8338417940160} is an apocalyptic number.

8338417940160 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 8338417940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742972210704).

8338417940160 is an abundant number, since it is smaller than the sum of its proper divisors (29147526481248).

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

8338417940160 is an equidigital number, since it uses as much as digits as its factorization.

8338417940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8338417940160 in words is "eight trillion, three hundred thirty-eight billion, four hundred seventeen million, nine hundred forty thousand, one hundred sixty".