8442166615200 has 432 divisors, whose sum is σ = 32214019795776. Its totient is φ = 2153363097600.

The previous prime is 8442166615193. The next prime is 8442166615217. The reversal of 8442166615200 is 25166612448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527140 + ... + 5415260.

It is an arithmetic number, because the mean of its divisors is an integer number (74569490268).

Almost surely, 2^{8442166615200} is an apocalyptic number.

8442166615200 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 8442166615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107009897888).

8442166615200 is an abundant number, since it is smaller than the sum of its proper divisors (23771853180576).

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

8442166615200 is a wasteful number, since it uses less digits than its factorization.

8442166615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888179 (or 1888154 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8442166615200 in words is "eight trillion, four hundred forty-two billion, one hundred sixty-six million, six hundred fifteen thousand, two hundred".