9444408072 has 256 divisors, whose sum is σ = 28015994880. Its totient is φ = 2621337600.

The previous prime is 9444408059. The next prime is 9444408073. The reversal of 9444408072 is 2708044449.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9444408073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34095198 + ... + 34095474.

It is an arithmetic number, because the mean of its divisors is an integer number (109437480).

Almost surely, 2^9444408072 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 9444408072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14007997440).

9444408072 is an abundant number, since it is smaller than the sum of its proper divisors (18571586808).

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

9444408072 is a wasteful number, since it uses less digits than its factorization.

9444408072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 9444408072 is about 97182.3444458920. The cubic root of 9444408072 is about 2113.7725216011.

The spelling of 9444408072 in words is "nine billion, four hundred forty-four million, four hundred eight thousand, seventy-two".