4404244230306 has 128 divisors (see below), whose sum is σ = 10699315660800. Its totient is φ = 1336889456640.

The previous prime is 4404244230277. The next prime is 4404244230313. The reversal of 4404244230306 is 6030324424044.

4404244230306 is a `hidden beast` number, since 4 + 40 + 42 + 44 + 230 + 306 = 666.

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, 184196680 + ... + 184220588.

It is an arithmetic number, because the mean of its divisors is an integer number (83588403600).

Almost surely, 2^{4404244230306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404244230306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349657830400).

4404244230306 is an abundant number, since it is smaller than the sum of its proper divisors (6295071430494).

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

4404244230306 is a wasteful number, since it uses less digits than its factorization.

4404244230306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30441 (or 30435 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 4404244230306 in words is "four trillion, four hundred four billion, two hundred forty-four million, two hundred thirty thousand, three hundred six".