4198794417216 has 189 divisors, whose sum is σ = 14001146011749. Its totient is φ = 1199557191168.

The previous prime is 4198794417203. The next prime is 4198794417217. The reversal of 4198794417216 is 6127144978914.

The square root of 4198794417216 is 2049096.

It is a perfect power (a square), and thus also a powerful number.

4198794417216 is a `hidden beast` number, since 4 + 198 + 7 + 9 + 4 + 417 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2979766440000 + 1219027977216 = 1726200^2 + 1104096^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4198794417217) 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 26 ways as a sum of consecutive naturals, for example, 344242030 + ... + 344254226.

Almost surely, 2^{4198794417216} is an apocalyptic number.

4198794417216 is the 2049096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198794417216

4198794417216 is an abundant number, since it is smaller than the sum of its proper divisors (9802351594533).

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

4198794417216 is an frugal number, since it uses more digits than its factorization.

4198794417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24426 (or 12209 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 4198794417216 in words is "four trillion, one hundred ninety-eight billion, seven hundred ninety-four million, four hundred seventeen thousand, two hundred sixteen".