41122543224000 has 672 divisors, whose sum is σ = 159859347088896. Its totient is φ = 9286170163200.

The previous prime is 41122543223989. The next prime is 41122543224001. The reversal of 41122543224000 is 42234522114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×41122543224000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41122543224001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 97397349 + ... + 97818651.

It is an arithmetic number, because the mean of its divisors is an integer number (237885933168).

Almost surely, 2^{41122543224000} is an apocalyptic number.

41122543224000 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 41122543224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79929673544448).

41122543224000 is an abundant number, since it is smaller than the sum of its proper divisors (118736803864896).

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

41122543224000 is a wasteful number, since it uses less digits than its factorization.

41122543224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421430 (or 421403 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 41122543224000 its reverse (42234522114), we get a palindrome (41164777746114).

The spelling of 41122543224000 in words is "forty-one trillion, one hundred twenty-two billion, five hundred forty-three million, two hundred twenty-four thousand".