42342420120 has 1024 divisors, whose sum is σ = 179477544960. Its totient is φ = 7708262400.

The previous prime is 42342420103. The next prime is 42342420139. The reversal of 42342420120 is 2102424324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 309068692 + ... + 309068828.

It is an arithmetic number, because the mean of its divisors is an integer number (175271040).

Almost surely, 2^42342420120 is an apocalyptic number.

42342420120 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 42342420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89738772480).

42342420120 is an abundant number, since it is smaller than the sum of its proper divisors (137135124840).

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

42342420120 is a wasteful number, since it uses less digits than its factorization.

42342420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42342420120 its reverse (2102424324), we get a palindrome (44444844444).

The spelling of 42342420120 in words is "forty-two billion, three hundred forty-two million, four hundred twenty thousand, one hundred twenty".