4409064000 has 672 divisors, whose sum is σ = 18173151360. Its totient is φ = 1009152000.

The previous prime is 4409063993. The next prime is 4409064017. The reversal of 4409064000 is 4609044.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15047854 + ... + 15048146.

It is an arithmetic number, because the mean of its divisors is an integer number (27043380).

Almost surely, 2^4409064000 is an apocalyptic number.

4409064000 is a gapful number since it is divisible by the number (40) 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 4409064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086575680).

4409064000 is an abundant number, since it is smaller than the sum of its proper divisors (13764087360).

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

4409064000 is a wasteful number, since it uses less digits than its factorization.

4409064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4409064000 is about 66400.7831279120. The cubic root of 4409064000 is about 1639.7669706578.

The spelling of 4409064000 in words is "four billion, four hundred nine million, sixty-four thousand".