41663987712 has 288 divisors, whose sum is σ = 126122240160. Its totient is φ = 13589544960.

The previous prime is 41663987711. The next prime is 41663987747. The reversal of 41663987712 is 21778936614.

41663987712 is a `hidden beast` number, since 416 + 63 + 98 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41663987711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215875488 + ... + 215875680.

It is an arithmetic number, because the mean of its divisors is an integer number (437924445).

Almost surely, 2^41663987712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41663987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63061120080).

41663987712 is an abundant number, since it is smaller than the sum of its proper divisors (84458252448).

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

41663987712 is an frugal number, since it uses more digits than its factorization.

41663987712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 259 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 41663987712 in words is "forty-one billion, six hundred sixty-three million, nine hundred eighty-seven thousand, seven hundred twelve".