4409856000 has 832 divisors, whose sum is σ = 18400262400. Its totient is φ = 1032192000.

The previous prime is 4409855999. The next prime is 4409856023. The reversal of 4409856000 is 6589044.

4409856000 is a `hidden beast` number, since 4 + 4 + 0 + 98 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 152063986 + ... + 152064014.

It is an arithmetic number, because the mean of its divisors is an integer number (22115700).

Almost surely, 2^4409856000 is an apocalyptic number.

4409856000 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 4409856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200131200).

4409856000 is an abundant number, since it is smaller than the sum of its proper divisors (13990406400).

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

4409856000 is a wasteful number, since it uses less digits than its factorization.

4409856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4409856000 is about 66406.7466452016. The cubic root of 4409856000 is about 1639.8651485391.

It can be divided in two parts, 440985 and 6000, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 4409856000 in words is "four billion, four hundred nine million, eight hundred fifty-six thousand".