42442305024 has 320 divisors, whose sum is σ = 133641446400. Its totient is φ = 11718819840.

The previous prime is 42442305023. The next prime is 42442305029. The reversal of 42442305024 is 42050324424.

It is a junction number, because it is equal to n+sod(n) for n = 42442304982 and 42442305000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442305023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40459252 + ... + 40460300.

It is an arithmetic number, because the mean of its divisors is an integer number (417629520).

Almost surely, 2^42442305024 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 42442305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820723200).

42442305024 is an abundant number, since it is smaller than the sum of its proper divisors (91199141376).

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

42442305024 is a wasteful number, since it uses less digits than its factorization.

42442305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 42442305024 its reverse (42050324424), we get a palindrome (84492629448).

The spelling of 42442305024 in words is "forty-two billion, four hundred forty-two million, three hundred five thousand, twenty-four".