41640086880 has 1152 divisors, whose sum is σ = 184618828800. Its totient is φ = 8561811456.

The previous prime is 41640086869. The next prime is 41640086921. The reversal of 41640086880 is 8868004614.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 303942172 + ... + 303942308.

It is an arithmetic number, because the mean of its divisors is an integer number (160259400).

Almost surely, 2^41640086880 is an apocalyptic number.

41640086880 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 41640086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92309414400).

41640086880 is an abundant number, since it is smaller than the sum of its proper divisors (142978741920).

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

41640086880 is a wasteful number, since it uses less digits than its factorization.

41640086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 41640086880 in words is "forty-one billion, six hundred forty million, eighty-six thousand, eight hundred eighty".