41066638000 has 240 divisors, whose sum is σ = 109401230016. Its totient is φ = 14879462400.

The previous prime is 41066637971. The next prime is 41066638001. The reversal of 41066638000 is 83666014.

It is not an unprimeable number, because it can be changed into a prime (41066638001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16604764 + ... + 16607236.

Almost surely, 2^41066638000 is an apocalyptic number.

41066638000 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 41066638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54700615008).

41066638000 is an abundant number, since it is smaller than the sum of its proper divisors (68334592016).

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

41066638000 is a wasteful number, since it uses less digits than its factorization.

41066638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 41066638000 in words is "forty-one billion, sixty-six million, six hundred thirty-eight thousand".