41446353121020 has 288 divisors, whose sum is σ = 132218063752320. Its totient is φ = 10493908346880.

The previous prime is 41446353121013. The next prime is 41446353121057. The reversal of 41446353121020 is 2012135364414.

41446353121020 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 635 + 3 + 1 + 2 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1698121657 + ... + 1698146063.

It is an arithmetic number, because the mean of its divisors is an integer number (459090499140).

Almost surely, 2^{41446353121020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41446353121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66109031876160).

41446353121020 is an abundant number, since it is smaller than the sum of its proper divisors (90771710631300).

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

41446353121020 is a wasteful number, since it uses less digits than its factorization.

41446353121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29845 (or 29840 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 41446353121020 its reverse (2012135364414), we get a palindrome (43458488485434).

The spelling of 41446353121020 in words is "forty-one trillion, four hundred forty-six billion, three hundred fifty-three million, one hundred twenty-one thousand, twenty".