41066733400040 has 32 divisors (see below), whose sum is σ = 92406183264000. Its totient is φ = 16425620806464.

The previous prime is 41066733400037. The next prime is 41066733400081. The reversal of 41066733400040 is 4000433766014.

It is a happy number.

41066733400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41066733399967 and 41066733400003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32896880 + ... + 34122399.

It is an arithmetic number, because the mean of its divisors is an integer number (2887693227000).

Almost surely, 2^{41066733400040} is an apocalyptic number.

41066733400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41066733400040 is an abundant number, since it is smaller than the sum of its proper divisors (51339449863960).

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

41066733400040 is a wasteful number, since it uses less digits than its factorization.

41066733400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67034609 (or 67034605 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 41066733400040 in words is "forty-one trillion, sixty-six billion, seven hundred thirty-three million, four hundred thousand, forty".