9041760000 has 1440 divisors, whose sum is σ = 42910264320. Its totient is φ = 1824768000.

The previous prime is 9041759989. The next prime is 9041760017. The reversal of 9041760000 is 671409.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 393119989 + ... + 393120011.

Almost surely, 2^9041760000 is an apocalyptic number.

9041760000 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 9041760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455132160).

9041760000 is an abundant number, since it is smaller than the sum of its proper divisors (33868504320).

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

9041760000 is a wasteful number, since it uses less digits than its factorization.

9041760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9041760000 is about 95088.1696111562. The cubic root of 9041760000 is about 2083.2960562219.

The spelling of 9041760000 in words is "nine billion, forty-one million, seven hundred sixty thousand".