41830044960 has 576 divisors, whose sum is σ = 155074590720. Its totient is φ = 9396142080.

The previous prime is 41830044887. The next prime is 41830044989. The reversal of 41830044960 is 6944003814.

It is a happy number.

It is a super-3 number, since 3×41830044960³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120547507 + ... + 120547853.

It is an arithmetic number, because the mean of its divisors is an integer number (269226720).

Almost surely, 2^41830044960 is an apocalyptic number.

41830044960 is a gapful number since it is divisible by the number (40) 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 41830044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77537295360).

41830044960 is an abundant number, since it is smaller than the sum of its proper divisors (113244545760).

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

41830044960 is a wasteful number, since it uses less digits than its factorization.

41830044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 41830044960 in words is "forty-one billion, eight hundred thirty million, forty-four thousand, nine hundred sixty".