4044004442406 has 96 divisors (see below), whose sum is σ = 9279525471840. Its totient is φ = 1269255578112.

The previous prime is 4044004442381. The next prime is 4044004442407. The reversal of 4044004442406 is 6042444004404.

4044004442406 is a `hidden beast` number, since 4 + 0 + 4 + 400 + 4 + 4 + 4 + 240 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044004442407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215177346 + ... + 215196138.

It is an arithmetic number, because the mean of its divisors is an integer number (96661723665).

Almost surely, 2^{4044004442406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044004442406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639762735920).

4044004442406 is an abundant number, since it is smaller than the sum of its proper divisors (5235521029434).

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

4044004442406 is a wasteful number, since it uses less digits than its factorization.

4044004442406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22630 (or 22627 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The spelling of 4044004442406 in words is "four trillion, forty-four billion, four million, four hundred forty-two thousand, four hundred six".