4417116143616 has 768 divisors, whose sum is σ = 14860695628800. Its totient is φ = 1295341977600.

The previous prime is 4417116143581. The next prime is 4417116143623. The reversal of 4417116143616 is 6163416117144.

It is a happy number.

4417116143616 is a `hidden beast` number, since 4 + 4 + 1 + 7 + 1 + 16 + 14 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142487617521 + ... + 142487617551.

It is an arithmetic number, because the mean of its divisors is an integer number (19349864100).

Almost surely, 2^{4417116143616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417116143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430347814400).

4417116143616 is an abundant number, since it is smaller than the sum of its proper divisors (10443579485184).

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

4417116143616 is an frugal number, since it uses more digits than its factorization.

4417116143616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 47 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 4417116143616 in words is "four trillion, four hundred seventeen billion, one hundred sixteen million, one hundred forty-three thousand, six hundred sixteen".