41224004241200 has 240 divisors, whose sum is σ = 108347969786112. Its totient is φ = 14948480640000.

The previous prime is 41224004241143. The next prime is 41224004241209. The reversal of 41224004241200 is 214240042214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41224004241200.

It is not an unprimeable number, because it can be changed into a prime (41224004241209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553985130 + ... + 2554001270.

Almost surely, 2^{41224004241200} is an apocalyptic number.

41224004241200 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 41224004241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54173984893056).

41224004241200 is an abundant number, since it is smaller than the sum of its proper divisors (67123965544912).

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

41224004241200 is a wasteful number, since it uses less digits than its factorization.

41224004241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17764 (or 17753 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 41224004241200 its reverse (214240042214), we get a palindrome (41438244283414).

The spelling of 41224004241200 in words is "forty-one trillion, two hundred twenty-four billion, four million, two hundred forty-one thousand, two hundred".