41221444042224 has 160 divisors (see below), whose sum is σ = 123478156892160. Its totient is φ = 13141689276672.

The previous prime is 41221444042211. The next prime is 41221444042267. The reversal of 41221444042224 is 42224044412214.

41221444042224 is a `hidden beast` number, since 4 + 1 + 2 + 21 + 4 + 4 + 404 + 2 + 224 = 666.

It is a super-3 number, since 3×41221444042224³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96593542 + ... + 97019354.

It is an arithmetic number, because the mean of its divisors is an integer number (771738480576).

Almost surely, 2^{41221444042224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221444042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61739078446080).

41221444042224 is an abundant number, since it is smaller than the sum of its proper divisors (82256712849936).

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

41221444042224 is a wasteful number, since it uses less digits than its factorization.

41221444042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435596 (or 435584 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 41221444042224 its reverse (42224044412214), we get a palindrome (83445488454438).

The spelling of 41221444042224 in words is "forty-one trillion, two hundred twenty-one billion, four hundred forty-four million, forty-two thousand, two hundred twenty-four".