41580882000 has 480 divisors, whose sum is σ = 166643453184. Its totient is φ = 9465984000.

The previous prime is 41580881971. The next prime is 41580882011. The reversal of 41580882000 is 28808514.

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 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, 41705502 + ... + 41706498.

Almost surely, 2^41580882000 is an apocalyptic number.

41580882000 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 41580882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83321726592).

41580882000 is an abundant number, since it is smaller than the sum of its proper divisors (125062571184).

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

41580882000 is a wasteful number, since it uses less digits than its factorization.

41580882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 41580882000 in words is "forty-one billion, five hundred eighty million, eight hundred eighty-two thousand".