41684580000000 has 864 divisors, whose sum is σ = 171700351070976. Its totient is φ = 9527616000000.

The previous prime is 41684579999989. The next prime is 41684580000001. The reversal of 41684580000000 is 8548614.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41684580000000.

It is not an unprimeable number, because it can be changed into a prime (41684580000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1259983459 + ... + 1260016541.

It is an arithmetic number, because the mean of its divisors is an integer number (198727258184).

Almost surely, 2^{41684580000000} is an apocalyptic number.

41684580000000 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 41684580000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85850175535488).

41684580000000 is an abundant number, since it is smaller than the sum of its proper divisors (130015771070976).

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

41684580000000 is an frugal number, since it uses more digits than its factorization.

41684580000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33147 (or 33100 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 41684580000000 its reverse (8548614), we get a palindrome (41684588548614).

The spelling of 41684580000000 in words is "forty-one trillion, six hundred eighty-four billion, five hundred eighty million", and thus it is an aban number.