9041124960 has 768 divisors, whose sum is σ = 39278131200. Its totient is φ = 1895104512.

The previous prime is 9041124929. The next prime is 9041124979. The reversal of 9041124960 is 694211409.

It is a happy number.

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

It is a congruent number.

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, 22105236 + ... + 22105644.

It is an arithmetic number, because the mean of its divisors is an integer number (51143400).

Almost surely, 2^9041124960 is an apocalyptic number.

9041124960 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 9041124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639065600).

9041124960 is an abundant number, since it is smaller than the sum of its proper divisors (30237006240).

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

9041124960 is a wasteful number, since it uses less digits than its factorization.

9041124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9041124960 is about 95084.8303358638. The cubic root of 9041124960 is about 2083.2472822626.

The spelling of 9041124960 in words is "nine billion, forty-one million, one hundred twenty-four thousand, nine hundred sixty".