42909120 has 168 divisors, whose sum is σ = 151205184. Its totient is φ = 11163648.

The previous prime is 42909089. The next prime is 42909121. The reversal of 42909120 is 2190924.

42909120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42909121) 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 23 ways as a sum of consecutive naturals, for example, 135202 + ... + 135518.

Almost surely, 2^42909120 is an apocalyptic number.

42909120 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 42909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75602592).

42909120 is an abundant number, since it is smaller than the sum of its proper divisors (108296064).

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

42909120 is a wasteful number, since it uses less digits than its factorization.

42909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42909120 is about 6550.5053240189. The cubic root of 42909120 is about 350.0928189199.

The spelling of 42909120 in words is "forty-two million, nine hundred nine thousand, one hundred twenty".