41086687560 has 256 divisors, whose sum is σ = 137952460800. Its totient is φ = 9740510208.

The previous prime is 41086687549. The next prime is 41086687561. The reversal of 41086687560 is 6578668014.

It is not an unprimeable number, because it can be changed into a prime (41086687561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2771929 + ... + 2786711.

It is an arithmetic number, because the mean of its divisors is an integer number (538876800).

Almost surely, 2^41086687560 is an apocalyptic number.

41086687560 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 41086687560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68976230400).

41086687560 is an abundant number, since it is smaller than the sum of its proper divisors (96865773240).

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

41086687560 is a wasteful number, since it uses less digits than its factorization.

41086687560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14892 (or 14888 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 41086687560 in words is "forty-one billion, eighty-six million, six hundred eighty-seven thousand, five hundred sixty".