41142112221210 has 768 divisors, whose sum is σ = 138849445582848. Its totient is φ = 7664983603200.

The previous prime is 41142112221193. The next prime is 41142112221241. The reversal of 41142112221210 is 1212221124114.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1636051857 + ... + 1636077003.

It is an arithmetic number, because the mean of its divisors is an integer number (180793548936).

Almost surely, 2^{41142112221210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142112221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69424722791424).

41142112221210 is an abundant number, since it is smaller than the sum of its proper divisors (97707333361638).

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

41142112221210 is a wasteful number, since it uses less digits than its factorization.

41142112221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25419 (or 25412 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 41142112221210 its reverse (1212221124114), we get a palindrome (42354333345324).

The spelling of 41142112221210 in words is "forty-one trillion, one hundred forty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred ten".