42442204240 has 80 divisors (see below), whose sum is σ = 100437031440. Its totient is φ = 16675061760.

The previous prime is 42442204219. The next prime is 42442204247. The reversal of 42442204240 is 4240224424.

It can be written as a sum of positive squares in 8 ways, for example, as 8353228816 + 34088975424 = 91396^2 + 184632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42442204199 and 42442204208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442204247) 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 15 ways as a sum of consecutive naturals, for example, 3688416 + ... + 3699904.

It is an arithmetic number, because the mean of its divisors is an integer number (1255462893).

Almost surely, 2^42442204240 is an apocalyptic number.

42442204240 is a gapful number since it is divisible by the number (40) 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 42442204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50218515720).

42442204240 is an abundant number, since it is smaller than the sum of its proper divisors (57994827200).

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

42442204240 is a wasteful number, since it uses less digits than its factorization.

42442204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42442204240 its reverse (4240224424), we get a palindrome (46682428664).

The spelling of 42442204240 in words is "forty-two billion, four hundred forty-two million, two hundred four thousand, two hundred forty".