42243122004224 has 144 divisors (see below), whose sum is σ = 88980385032000. Its totient is φ = 19986834481152.

The previous prime is 42243122004221. The next prime is 42243122004229. The reversal of 42243122004224 is 42240022134224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42243122004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97773827 + ... + 98204925.

It is an arithmetic number, because the mean of its divisors is an integer number (617919340500).

Almost surely, 2^{42243122004224} 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 42243122004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44490192516000).

42243122004224 is an abundant number, since it is smaller than the sum of its proper divisors (46737263027776).

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

42243122004224 is a wasteful number, since it uses less digits than its factorization.

42243122004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431408 (or 431394 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42243122004224 its reverse (42240022134224), we get a palindrome (84483144138448).

The spelling of 42243122004224 in words is "forty-two trillion, two hundred forty-three billion, one hundred twenty-two million, four thousand, two hundred twenty-four".