4406446044 has 144 divisors (see below), whose sum is σ = 14955333120. Its totient is φ = 1056481920.

The previous prime is 4406446003. The next prime is 4406446049.

4406446044 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 44 + 604 + 4 = 666.

4406446044 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406446049) 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, 25104 + ... + 97175.

It is an arithmetic number, because the mean of its divisors is an integer number (103856480).

Almost surely, 2^4406446044 is an apocalyptic number.

4406446044 is a gapful number since it is divisible by the number (44) 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 4406446044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477666560).

4406446044 is an abundant number, since it is smaller than the sum of its proper divisors (10548887076).

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

4406446044 is a wasteful number, since it uses less digits than its factorization.

4406446044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122320 (or 122315 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4406446044 is about 66381.0669091722. The cubic root of 4406446044 is about 1639.4423599839.

The spelling of 4406446044 in words is "four billion, four hundred six million, four hundred forty-six thousand, forty-four".