42242352120 has 192 divisors, whose sum is σ = 146966077440. Its totient is φ = 10901174400.

The previous prime is 42242352109. The next prime is 42242352127. The reversal of 42242352120 is 2125324224.

42242352120 is a `hidden beast` number, since 4 + 22 + 423 + 5 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242352127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231225 + ... + 371415.

It is an arithmetic number, because the mean of its divisors is an integer number (765448320).

Almost surely, 2^42242352120 is an apocalyptic number.

42242352120 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 42242352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483038720).

42242352120 is an abundant number, since it is smaller than the sum of its proper divisors (104723725320).

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

42242352120 is a wasteful number, since it uses less digits than its factorization.

42242352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140248 (or 140232 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42242352120 its reverse (2125324224), we get a palindrome (44367676344).

The spelling of 42242352120 in words is "forty-two billion, two hundred forty-two million, three hundred fifty-two thousand, one hundred twenty".