41169688560 has 1200 divisors, whose sum is σ = 193774139328. Its totient is φ = 7882997760.

The previous prime is 41169688559. The next prime is 41169688597. The reversal of 41169688560 is 6588696114.

41169688560 is a `hidden beast` number, since 4 + 1 + 16 + 9 + 68 + 8 + 560 = 666.

It is a super-2 number, since 2×41169688560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41169688497 and 41169688506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71350992 + ... + 71351568.

Almost surely, 2^41169688560 is an apocalyptic number.

41169688560 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 41169688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96887069664).

41169688560 is an abundant number, since it is smaller than the sum of its proper divisors (152604450768).

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

41169688560 is a wasteful number, since it uses less digits than its factorization.

41169688560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 41169688560 in words is "forty-one billion, one hundred sixty-nine million, six hundred eighty-eight thousand, five hundred sixty".