41666288544000 has 864 divisors, whose sum is σ = 160496750668800. Its totient is φ = 10752528384000.

The previous prime is 41666288543989. The next prime is 41666288544017. The reversal of 41666288544000 is 44588266614.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240969576 + ... + 241142424.

Almost surely, 2^{41666288544000} is an apocalyptic number.

41666288544000 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 41666288544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80248375334400).

41666288544000 is an abundant number, since it is smaller than the sum of its proper divisors (118830462124800).

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

41666288544000 is an equidigital number, since it uses as much as digits as its factorization.

41666288544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172926 (or 172890 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 41666288544000 in words is "forty-one trillion, six hundred sixty-six billion, two hundred eighty-eight million, five hundred forty-four thousand".