4416196184064 has 864 divisors, whose sum is σ = 15553677615840. Its totient is φ = 1248093536256.

The previous prime is 4416196184017. The next prime is 4416196184069. The reversal of 4416196184064 is 4604816916144.

It is a happy number.

4416196184064 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 19 + 618 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4416196184064² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4416196184064.

It is not an unprimeable number, because it can be changed into a prime (4416196184069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2365396059 + ... + 2365397925.

It is an arithmetic number, because the mean of its divisors is an integer number (18001941685).

Almost surely, 2^{4416196184064} 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 4416196184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776838807920).

4416196184064 is an abundant number, since it is smaller than the sum of its proper divisors (11137481431776).

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

4416196184064 is an equidigital number, since it uses as much as digits as its factorization.

4416196184064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4416196184064 in words is "four trillion, four hundred sixteen billion, one hundred ninety-six million, one hundred eighty-four thousand, sixty-four".