42224314120 has 64 divisors (see below), whose sum is σ = 97454327040. Its totient is φ = 16455360000.

The previous prime is 42224314051. The next prime is 42224314127. The reversal of 42224314120 is 2141342224.

It is not an unprimeable number, because it can be changed into a prime (42224314127) 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, 1214499 + ... + 1248781.

It is an arithmetic number, because the mean of its divisors is an integer number (1522723860).

Almost surely, 2^42224314120 is an apocalyptic number.

42224314120 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 42224314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48727163520).

42224314120 is an abundant number, since it is smaller than the sum of its proper divisors (55230012920).

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

42224314120 is a wasteful number, since it uses less digits than its factorization.

42224314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35086 (or 35082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42224314120 its reverse (2141342224), we get a palindrome (44365656344).

The spelling of 42224314120 in words is "forty-two billion, two hundred twenty-four million, three hundred fourteen thousand, one hundred twenty".