4417887144 has 256 divisors, whose sum is σ = 13281408000. Its totient is φ = 1219680000.

The previous prime is 4417887139. The next prime is 4417887161.

4417887144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4417887093 and 4417887102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17601019 + ... + 17601269.

It is an arithmetic number, because the mean of its divisors is an integer number (51880500).

Almost surely, 2^4417887144 is an apocalyptic number.

4417887144 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 4417887144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704000).

4417887144 is an abundant number, since it is smaller than the sum of its proper divisors (8863520856).

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

4417887144 is a wasteful number, since it uses less digits than its factorization.

4417887144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The square root of 4417887144 is about 66467.1884767214. The cubic root of 4417887144 is about 1640.8600416641.

The spelling of 4417887144 in words is "four billion, four hundred seventeen million, eight hundred eighty-seven thousand, one hundred forty-four".