4416886144 has 256 divisors, whose sum is σ = 10850319360. Its totient is φ = 1766195200.

The previous prime is 4416886141. The next prime is 4416886157.

4416886144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 4416886094 and 4416886103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416886141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39087432 + ... + 39087544.

It is an arithmetic number, because the mean of its divisors is an integer number (42384060).

Almost surely, 2^4416886144 is an apocalyptic number.

4416886144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425159680).

4416886144 is an abundant number, since it is smaller than the sum of its proper divisors (6433433216).

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

4416886144 is a wasteful number, since it uses less digits than its factorization.

4416886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 4416886144 is about 66459.6580189817. The cubic root of 4416886144 is about 1640.7361042165.

The spelling of 4416886144 in words is "four billion, four hundred sixteen million, eight hundred eighty-six thousand, one hundred forty-four".