9065041440 has 768 divisors, whose sum is σ = 37066014720. Its totient is φ = 1811496960.

The previous prime is 9065041439. The next prime is 9065041459. The reversal of 9065041440 is 441405609.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114747321 + ... + 114747399.

It is an arithmetic number, because the mean of its divisors is an integer number (48263040).

Almost surely, 2^9065041440 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 9065041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

9065041440 is an abundant number, since it is smaller than the sum of its proper divisors (28000973280).

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

9065041440 is a wasteful number, since it uses less digits than its factorization.

9065041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 9065041440 is about 95210.5111844275. The cubic root of 9065041440 is about 2085.0826022977.

The spelling of 9065041440 in words is "nine billion, sixty-five million, forty-one thousand, four hundred forty".