41940289900800 has 1296 divisors, whose sum is σ = 160069447399680. Its totient is φ = 10860080209920.

The previous prime is 41940289900793. The next prime is 41940289900801. The reversal of 41940289900800 is 800998204914.

41940289900800 is a `hidden beast` number, since 419 + 40 + 28 + 9 + 90 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (41940289900801) 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 143 ways as a sum of consecutive naturals, for example, 7615811647 + ... + 7615817153.

It is an arithmetic number, because the mean of its divisors is an integer number (123510376080).

Almost surely, 2^{41940289900800} is an apocalyptic number.

41940289900800 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 41940289900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80034723699840).

41940289900800 is an abundant number, since it is smaller than the sum of its proper divisors (118129157498880).

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

41940289900800 is an equidigital number, since it uses as much as digits as its factorization.

41940289900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 41940289900800 in words is "forty-one trillion, nine hundred forty billion, two hundred eighty-nine million, nine hundred thousand, eight hundred".