41668308246000 has 320 divisors, whose sum is σ = 135681415833600. Its totient is φ = 11000544307200.

The previous prime is 41668308245981. The next prime is 41668308246041. The reversal of 41668308246000 is 64280386614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2873074749 + ... + 2873089251.

It is an arithmetic number, because the mean of its divisors is an integer number (424004424480).

Almost surely, 2^{41668308246000} is an apocalyptic number.

41668308246000 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 41668308246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67840707916800).

41668308246000 is an abundant number, since it is smaller than the sum of its proper divisors (94013107587600).

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

41668308246000 is a wasteful number, since it uses less digits than its factorization.

41668308246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19281 (or 19265 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 41668308246000 in words is "forty-one trillion, six hundred sixty-eight billion, three hundred eight million, two hundred forty-six thousand".