41809447680 has 1152 divisors, whose sum is σ = 182959257600. Its totient is φ = 7856455680.

The previous prime is 41809447637. The next prime is 41809447711. The reversal of 41809447680 is 8674490814.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280600246 + ... + 280600394.

It is an arithmetic number, because the mean of its divisors is an integer number (158818800).

Almost surely, 2^41809447680 is an apocalyptic number.

41809447680 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 41809447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91479628800).

41809447680 is an abundant number, since it is smaller than the sum of its proper divisors (141149809920).

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

41809447680 is a wasteful number, since it uses less digits than its factorization.

41809447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 41809447680 in words is "forty-one billion, eight hundred nine million, four hundred forty-seven thousand, six hundred eighty".