4413884160 has 288 divisors, whose sum is σ = 16633516032. Its totient is φ = 976158720.

The previous prime is 4413884147. The next prime is 4413884203. The reversal of 4413884160 is 614883144.

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 31 ways as a sum of consecutive naturals, for example, 830632 + ... + 835928.

It is an arithmetic number, because the mean of its divisors is an integer number (57755264).

Almost surely, 2^4413884160 is an apocalyptic number.

4413884160 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 4413884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316758016).

4413884160 is an abundant number, since it is smaller than the sum of its proper divisors (12219631872).

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

4413884160 is a wasteful number, since it uses less digits than its factorization.

4413884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4413884160 is about 66437.0691707574. The cubic root of 4413884160 is about 1640.3643053462.

The spelling of 4413884160 in words is "four billion, four hundred thirteen million, eight hundred eighty-four thousand, one hundred sixty".