4416832386144 has 192 divisors, whose sum is σ = 13168958745600. Its totient is φ = 1439590316544.

The previous prime is 4416832386119. The next prime is 4416832386193.

4416832386144 is a `hidden beast` number, since 4 + 4 + 16 + 8 + 3 + 2 + 3 + 8 + 614 + 4 = 666.

4416832386144 is nontrivially palindromic in base 10.

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

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43359079 + ... + 43460825.

It is an arithmetic number, because the mean of its divisors is an integer number (68588326800).

Almost surely, 2^{4416832386144} 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 4416832386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584479372800).

4416832386144 is an abundant number, since it is smaller than the sum of its proper divisors (8752126359456).

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

4416832386144 is a wasteful number, since it uses less digits than its factorization.

4416832386144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102882 (or 102868 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 4416832386144 in words is "four trillion, four hundred sixteen billion, eight hundred thirty-two million, three hundred eighty-six thousand, one hundred forty-four".