9330418944 has 576 divisors, whose sum is σ = 35226132480. Its totient is φ = 2365562880.

The previous prime is 9330418931. The next prime is 9330418997. The reversal of 9330418944 is 4498140339.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 9330418944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25014342 + ... + 25014714.

It is an arithmetic number, because the mean of its divisors is an integer number (61156480).

Almost surely, 2^9330418944 is an apocalyptic number.

9330418944 is a gapful number since it is divisible by the number (94) 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 9330418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613066240).

9330418944 is an abundant number, since it is smaller than the sum of its proper divisors (25895713536).

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

9330418944 is a wasteful number, since it uses less digits than its factorization.

9330418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9330418944 is about 96594.0937324845. The cubic root of 9330418944 is about 2105.2340296068.

The spelling of 9330418944 in words is "nine billion, three hundred thirty million, four hundred eighteen thousand, nine hundred forty-four".