4392444672 has 648 divisors, whose sum is σ = 16793929152. Its totient is φ = 1132185600.

The previous prime is 4392444671. The next prime is 4392444689. The reversal of 4392444672 is 2764442934.

It is a tau number, because it is divible by the number of its divisors (648).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4392444671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33530047 + ... + 33530177.

Almost surely, 2^4392444672 is an apocalyptic number.

4392444672 is a gapful number since it is divisible by the number (42) 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 4392444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396964576).

4392444672 is an abundant number, since it is smaller than the sum of its proper divisors (12401484480).

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

4392444672 is a wasteful number, since it uses less digits than its factorization.

4392444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4392444672 is about 66275.5209108159. The cubic root of 4392444672 is about 1637.7040885574.

The spelling of 4392444672 in words is "four billion, three hundred ninety-two million, four hundred forty-four thousand, six hundred seventy-two".