4409146384 has 80 divisors (see below), whose sum is σ = 9743215680. Its totient is φ = 1919877120.

The previous prime is 4409146369. The next prime is 4409146421. The reversal of 4409146384 is 4836419044.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 4409146384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212304 + ... + 232144.

It is an arithmetic number, because the mean of its divisors is an integer number (121790196).

Almost surely, 2^4409146384 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 4409146384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871607840).

4409146384 is an abundant number, since it is smaller than the sum of its proper divisors (5334069296).

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

4409146384 is a wasteful number, since it uses less digits than its factorization.

4409146384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19928 (or 19922 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 4409146384 is about 66401.4034791434. The cubic root of 4409146384 is about 1639.7771836887. Note that the first 3 decimals are identical.

The spelling of 4409146384 in words is "four billion, four hundred nine million, one hundred forty-six thousand, three hundred eighty-four".