4406044200 has 96 divisors (see below), whose sum is σ = 13794161760. Its totient is φ = 1163296000.

The previous prime is 4406044199. The next prime is 4406044217. The reversal of 4406044200 is 24406044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24247 + ... + 96953.

It is an arithmetic number, because the mean of its divisors is an integer number (143689185).

Almost surely, 2^4406044200 is an apocalyptic number.

4406044200 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 4406044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897080880).

4406044200 is an abundant number, since it is smaller than the sum of its proper divisors (9388117560).

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

4406044200 is a wasteful number, since it uses less digits than its factorization.

4406044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72827 (or 72818 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4406044200 is about 66378.0400433758. The cubic root of 4406044200 is about 1639.3925223827.

The spelling of 4406044200 in words is "four billion, four hundred six million, forty-four thousand, two hundred".