41448223486800 has 900 divisors, whose sum is σ = 164645946565716. Its totient is φ = 9926754508800.

The previous prime is 41448223486771. The next prime is 41448223486807. The reversal of 41448223486800 is 868432284414.

It is a happy number.

41448223486800 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 82 + 2 + 3 + 486 + 80 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 30506047539984 + 10942175946816 = 5523228^2 + 3307896^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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 (41448223486807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 576586860 + ... + 576658740.

Almost surely, 2^{41448223486800} is an apocalyptic number.

41448223486800 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 41448223486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82322973282858).

41448223486800 is an abundant number, since it is smaller than the sum of its proper divisors (123197723078916).

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

41448223486800 is a wasteful number, since it uses less digits than its factorization.

41448223486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71998 (or 71941 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 41448223486800 in words is "forty-one trillion, four hundred forty-eight billion, two hundred twenty-three million, four hundred eighty-six thousand, eight hundred".