4417966794816 has 441 divisors, whose sum is σ = 13560756277341. Its totient is φ = 1427405981184.

The previous prime is 4417966794811. The next prime is 4417966794823. The reversal of 4417966794816 is 6184976697144.

The square root of 4417966794816 is 2101896.

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

4417966794816 is a `hidden beast` number, since 4 + 4 + 1 + 79 + 6 + 6 + 79 + 481 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3953257358400 + 464709436416 = 1988280^2 + 681696^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4417966794811) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16798352701 + ... + 16798352963.

Almost surely, 2^{4417966794816} is an apocalyptic number.

4417966794816 is the 2101896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417966794816

4417966794816 is an abundant number, since it is smaller than the sum of its proper divisors (9142789482525).

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

4417966794816 is an frugal number, since it uses more digits than its factorization.

4417966794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 305 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 4417966794816 in words is "four trillion, four hundred seventeen billion, nine hundred sixty-six million, seven hundred ninety-four thousand, eight hundred sixteen".