9094816440 has 192 divisors, whose sum is σ = 30744230400. Its totient is φ = 2328883200.

The previous prime is 9094816439. The next prime is 9094816441. The reversal of 9094816440 is 446184909.

9094816440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9094816439) and next prime (9094816441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9094816441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991760 + ... + 1996320.

It is an arithmetic number, because the mean of its divisors is an integer number (160126200).

Almost surely, 2^9094816440 is an apocalyptic number.

9094816440 is a gapful number since it is divisible by the number (90) 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 9094816440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372115200).

9094816440 is an abundant number, since it is smaller than the sum of its proper divisors (21649413960).

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

9094816440 is a wasteful number, since it uses less digits than its factorization.

9094816440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9094816440 is about 95366.7470348024. The cubic root of 9094816440 is about 2087.3629921435.

The spelling of 9094816440 in words is "nine billion, ninety-four million, eight hundred sixteen thousand, four hundred forty".