41066802627840 has 1728 divisors, whose sum is σ = 165807975110400. Its totient is φ = 9624069734400.

The previous prime is 41066802627827. The next prime is 41066802627847. The reversal of 41066802627840 is 4872620866014.

It is a happy number.

41066802627840 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 6 + 8 + 0 + 2 + 627 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41066802627847) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 44205384496 + ... + 44205385424.

It is an arithmetic number, because the mean of its divisors is an integer number (95953689300).

Almost surely, 2^{41066802627840} is an apocalyptic number.

41066802627840 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 41066802627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82903987555200).

41066802627840 is an abundant number, since it is smaller than the sum of its proper divisors (124741172482560).

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

41066802627840 is an equidigital number, since it uses as much as digits as its factorization.

41066802627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 41066802627840 in words is "forty-one trillion, sixty-six billion, eight hundred two million, six hundred twenty-seven thousand, eight hundred forty".