42241333314224 has 160 divisors (see below), whose sum is σ = 91054457856000. Its totient is φ = 18821541024000.

The previous prime is 42241333314223. The next prime is 42241333314241.

42241333314224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42241333314223) 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, 5907049049 + ... + 5907056199.

It is an arithmetic number, because the mean of its divisors is an integer number (569090361600).

Almost surely, 2^{42241333314224} is an apocalyptic number.

42241333314224 is a gapful number since it is divisible by the number (44) 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 42241333314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45527228928000).

42241333314224 is an abundant number, since it is smaller than the sum of its proper divisors (48813124541776).

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

42241333314224 is a wasteful number, since it uses less digits than its factorization.

42241333314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767 (or 8761 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 4224133 and 3314224, that added together give a palindrome (7538357).

The spelling of 42241333314224 in words is "forty-two trillion, two hundred forty-one billion, three hundred thirty-three million, three hundred fourteen thousand, two hundred twenty-four".