4405209984 has 384 divisors, whose sum is σ = 15122764800. Its totient is φ = 1204826112.

The previous prime is 4405209971. The next prime is 4405210003. The reversal of 4405209984 is 4899025044.

4405209984 is a `hidden beast` number, since 4 + 40 + 520 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22361374 + ... + 22361570.

It is an arithmetic number, because the mean of its divisors is an integer number (39382200).

Almost surely, 2^4405209984 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 4405209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561382400).

4405209984 is an abundant number, since it is smaller than the sum of its proper divisors (10717554816).

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

4405209984 is a wasteful number, since it uses less digits than its factorization.

4405209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4405209984 is about 66371.7559207228. The cubic root of 4405209984 is about 1639.2890513528.

The spelling of 4405209984 in words is "four billion, four hundred five million, two hundred nine thousand, nine hundred eighty-four".