42442355324424 has 192 divisors, whose sum is σ = 117432436141440. Its totient is φ = 12772742400000.

The previous prime is 42442355324407. The next prime is 42442355324429.

42442355324424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42442355324429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2000006134 + ... + 2000027354.

It is an arithmetic number, because the mean of its divisors is an integer number (611627271570).

Almost surely, 2^{42442355324424} is an apocalyptic number.

42442355324424 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 42442355324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58716218070720).

42442355324424 is an abundant number, since it is smaller than the sum of its proper divisors (74990080817016).

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

42442355324424 is a wasteful number, since it uses less digits than its factorization.

42442355324424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964 (or 25949 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 4244235 and 5324424, that added together give a palindrome (9568659).

The spelling of 42442355324424 in words is "forty-two trillion, four hundred forty-two billion, three hundred fifty-five million, three hundred twenty-four thousand, four hundred twenty-four".