41686911360 has 512 divisors, whose sum is σ = 153238435200. Its totient is φ = 10701766656.

The previous prime is 41686911359. The next prime is 41686911379. The reversal of 41686911360 is 6311968614.

41686911360 is a `hidden beast` number, since 416 + 8 + 69 + 113 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72247392 + ... + 72247968.

Almost surely, 2^41686911360 is an apocalyptic number.

41686911360 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 41686911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76619217600).

41686911360 is an abundant number, since it is smaller than the sum of its proper divisors (111551523840).

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

41686911360 is a wasteful number, since it uses less digits than its factorization.

41686911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 41686911360 in words is "forty-one billion, six hundred eighty-six million, nine hundred eleven thousand, three hundred sixty".