4409004168 has 96 divisors (see below), whose sum is σ = 12130911000. Its totient is φ = 1446488064.

The previous prime is 4409004091. The next prime is 4409004191. The reversal of 4409004168 is 8614009044.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 445294404 + 3963709764 = 21102^2 + 62958^2 .

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 23 ways as a sum of consecutive naturals, for example, 1210446 + ... + 1214082.

Almost surely, 2^4409004168 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 4409004168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065455500).

4409004168 is an abundant number, since it is smaller than the sum of its proper divisors (7721906832).

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

4409004168 is a wasteful number, since it uses less digits than its factorization.

4409004168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4409004168 is about 66400.3325895285. The cubic root of 4409004168 is about 1639.7595532875.

The spelling of 4409004168 in words is "four billion, four hundred nine million, four thousand, one hundred sixty-eight".