41668427005760 has 28 divisors (see below), whose sum is σ = 99222941808228. Its totient is φ = 16667370802176.

The previous prime is 41668427005661. The next prime is 41668427005781. The reversal of 41668427005760 is 6750072486614.

It can be written as a sum of positive squares in 2 ways, for example, as 9090176760064 + 32578250245696 = 3014992^2 + 5707736^2 .

It is a super-3 number, since 3×41668427005760³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41668427005696 and 41668427005705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65106916877 + ... + 65106917516.

It is an arithmetic number, because the mean of its divisors is an integer number (3543676493151).

Almost surely, 2^{41668427005760} is an apocalyptic number.

41668427005760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41668427005760 is an abundant number, since it is smaller than the sum of its proper divisors (57554514802468).

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

41668427005760 is a wasteful number, since it uses less digits than its factorization.

41668427005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130213834410 (or 130213834400 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 41668427005760 in words is "forty-one trillion, six hundred sixty-eight billion, four hundred twenty-seven million, five thousand, seven hundred sixty".