41806261728000 has 5760 divisors, whose sum is σ = 208012384419840. Its totient is φ = 8082063360000.

The previous prime is 41806261727999. The next prime is 41806261728013. The reversal of 41806261728000 is 82716260814.

41806261728000 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 6 + 2 + 617 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 179426015884 + ... + 179426016116.

It is an arithmetic number, because the mean of its divisors is an integer number (36113261184).

Almost surely, 2^{41806261728000} is an apocalyptic number.

41806261728000 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 41806261728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104006192209920).

41806261728000 is an abundant number, since it is smaller than the sum of its proper divisors (166206122691840).

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

41806261728000 is a wasteful number, since it uses less digits than its factorization.

41806261728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 41806261728000 its reverse (82716260814), we get a palindrome (41888977988814).

The spelling of 41806261728000 in words is "forty-one trillion, eight hundred six billion, two hundred sixty-one million, seven hundred twenty-eight thousand".