9041445504 has 720 divisors, whose sum is σ = 34643562030. Its totient is φ = 2320109568.

The previous prime is 9041445493. The next prime is 9041445571. The reversal of 9041445504 is 4055441409.

9041445504 is a `hidden beast` number, since 9 + 0 + 4 + 144 + 5 + 504 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8882685504 + 158760000 = 94248^2 + 12600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 244363374 + ... + 244363410.

Almost surely, 2^9041445504 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 9041445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321781015).

9041445504 is an abundant number, since it is smaller than the sum of its proper divisors (25602116526).

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

9041445504 is a wasteful number, since it uses less digits than its factorization.

9041445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 9041445504 is about 95086.5158894783. The cubic root of 9041445504 is about 2083.2719017847.

The spelling of 9041445504 in words is "nine billion, forty-one million, four hundred forty-five thousand, five hundred four".