42224024444420 has 72 divisors (see below), whose sum is σ = 111081664341144. Its totient is φ = 13363207732224.

The previous prime is 42224024444359. The next prime is 42224024444431. The reversal of 42224024444420 is 2444442042224.

42224024444420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1149051075844 + 41074973368576 = 1071938^2 + 6408976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657131077 + ... + 1657156556.

It is an arithmetic number, because the mean of its divisors is an integer number (1542800893627).

Almost surely, 2^{42224024444420} is an apocalyptic number.

It is an amenable number.

42224024444420 is an abundant number, since it is smaller than the sum of its proper divisors (68857639896724).

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

42224024444420 is a wasteful number, since it uses less digits than its factorization.

42224024444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314287669 (or 3314287660 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 38.

Adding to 42224024444420 its reverse (2444442042224), we get a palindrome (44668466486644).

The spelling of 42224024444420 in words is "forty-two trillion, two hundred twenty-four billion, twenty-four million, four hundred forty-four thousand, four hundred twenty".