41221200331200 has 168 divisors, whose sum is σ = 135250304302000. Its totient is φ = 10991473459200.

The previous prime is 41221200331177. The next prime is 41221200331261. The reversal of 41221200331200 is 213300212214.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63271110 + ... + 63919290.

Almost surely, 2^{41221200331200} is an apocalyptic number.

41221200331200 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 41221200331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67625152151000).

41221200331200 is an abundant number, since it is smaller than the sum of its proper divisors (94029103970800).

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

41221200331200 is a wasteful number, since it uses less digits than its factorization.

41221200331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661455 (or 661440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41221200331200 its reverse (213300212214), we get a palindrome (41434500543414).

The spelling of 41221200331200 in words is "forty-one trillion, two hundred twenty-one billion, two hundred million, three hundred thirty-one thousand, two hundred".