41242212124224 has 112 divisors (see below), whose sum is σ = 109712336328000. Its totient is φ = 13672955693056.

The previous prime is 41242212124153. The next prime is 41242212124231. The reversal of 41242212124224 is 42242121224214.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29637202 + ... + 30997550.

It is an arithmetic number, because the mean of its divisors is an integer number (979574431500).

Almost surely, 2^{41242212124224} 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 41242212124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54856168164000).

41242212124224 is an abundant number, since it is smaller than the sum of its proper divisors (68470124203776).

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

41242212124224 is a wasteful number, since it uses less digits than its factorization.

41242212124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361220 (or 1361210 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

Adding to 41242212124224 its reverse (42242121224214), we get a palindrome (83484333348438).

The spelling of 41242212124224 in words is "forty-one trillion, two hundred forty-two billion, two hundred twelve million, one hundred twenty-four thousand, two hundred twenty-four".