41691706560 has 896 divisors, whose sum is σ = 178498682880. Its totient is φ = 8957952000.

The previous prime is 41691706541. The next prime is 41691706607. The reversal of 41691706560 is 6560719614.

41691706560 is a `hidden beast` number, since 4 + 16 + 9 + 1 + 70 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69370260 + ... + 69370860.

It is an arithmetic number, because the mean of its divisors is an integer number (199217280).

Almost surely, 2^41691706560 is an apocalyptic number.

41691706560 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 41691706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89249341440).

41691706560 is an abundant number, since it is smaller than the sum of its proper divisors (136806976320).

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

41691706560 is a wasteful number, since it uses less digits than its factorization.

41691706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 41691706560 in words is "forty-one billion, six hundred ninety-one million, seven hundred six thousand, five hundred sixty".