41223034144000 has 288 divisors, whose sum is σ = 111824074252800. Its totient is φ = 15082686259200.

The previous prime is 41223034143983. The next prime is 41223034144007. The reversal of 41223034144000 is 44143032214.

It is a self number, because there is not a number n which added to its sum of digits gives 41223034144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41223034144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16463017 + ... + 18800983.

It is an arithmetic number, because the mean of its divisors is an integer number (388278035600).

Almost surely, 2^{41223034144000} is an apocalyptic number.

41223034144000 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 41223034144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55912037126400).

41223034144000 is an abundant number, since it is smaller than the sum of its proper divisors (70601040108800).

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

41223034144000 is a wasteful number, since it uses less digits than its factorization.

41223034144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338046 (or 2338022 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41223034144000 its reverse (44143032214), we get a palindrome (41267177176214).

The spelling of 41223034144000 in words is "forty-one trillion, two hundred twenty-three billion, thirty-four million, one hundred forty-four thousand".