42171120 has 120 divisors (see below), whose sum is σ = 145544256. Its totient is φ = 10934784.

The previous prime is 42171113. The next prime is 42171131. The reversal of 42171120 is 2117124.

42171120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42171093 and 42171102.

It is a congruent number.

It is an unprimeable number.

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, 25849 + ... + 27431.

Almost surely, 2^42171120 is an apocalyptic number.

42171120 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 42171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

42171120 is an abundant number, since it is smaller than the sum of its proper divisors (103373136).

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

42171120 is a wasteful number, since it uses less digits than its factorization.

42171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 42171120 is about 6493.9294729771. The cubic root of 42171120 is about 348.0741023331.

Adding to 42171120 its reverse (2117124), we get a palindrome (44288244).

The spelling of 42171120 in words is "forty-two million, one hundred seventy-one thousand, one hundred twenty".