41121216224000 has 576 divisors, whose sum is σ = 119431903997952. Its totient is φ = 13941825536000.

The previous prime is 41121216223951. The next prime is 41121216224041. The reversal of 41121216224000 is 42261212114.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640255889 + ... + 640320111.

It is an arithmetic number, because the mean of its divisors is an integer number (207347055552).

Almost surely, 2^{41121216224000} is an apocalyptic number.

41121216224000 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 41121216224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715951998976).

41121216224000 is an abundant number, since it is smaller than the sum of its proper divisors (78310687773952).

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

41121216224000 is a wasteful number, since it uses less digits than its factorization.

41121216224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64389 (or 64365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 41121216224000 its reverse (42261212114), we get a palindrome (41163477436114).

The spelling of 41121216224000 in words is "forty-one trillion, one hundred twenty-one billion, two hundred sixteen million, two hundred twenty-four thousand".