42531120 has 120 divisors (see below), whose sum is σ = 150399600. Its totient is φ = 10741248.

The previous prime is 42531119. The next prime is 42531133. The reversal of 42531120 is 2113524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42531093 and 42531102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12126 + ... + 15234.

It is an arithmetic number, because the mean of its divisors is an integer number (1253330).

Almost surely, 2^42531120 is an apocalyptic number.

42531120 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 42531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75199800).

42531120 is an abundant number, since it is smaller than the sum of its proper divisors (107868480).

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

42531120 is a wasteful number, since it uses less digits than its factorization.

42531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42531120 is about 6521.5887634839. The cubic root of 42531120 is about 349.0617592256.

Adding to 42531120 its reverse (2113524), we get a palindrome (44644644).

The spelling of 42531120 in words is "forty-two million, five hundred thirty-one thousand, one hundred twenty".