42162120 has 480 divisors, whose sum is σ = 191315520. Its totient is φ = 8087040.

The previous prime is 42162119. The next prime is 42162179. The reversal of 42162120 is 2126124.

42162120 is a `hidden beast` number, since 4 + 21 + 621 + 20 = 666.

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 = 42162093 and 42162102.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3243234 + ... + 3243246.

It is an arithmetic number, because the mean of its divisors is an integer number (398574).

Almost surely, 2^42162120 is an apocalyptic number.

42162120 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 42162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95657760).

42162120 is an abundant number, since it is smaller than the sum of its proper divisors (149153400).

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

42162120 is a wasteful number, since it uses less digits than its factorization.

42162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42162120 is about 6493.2364811394. The cubic root of 42162120 is about 348.0493390211.

Adding to 42162120 its reverse (2126124), we get a palindrome (44288244).

It can be divided in two parts, 4216 and 2120, that added together give a palindrome (6336).

The spelling of 42162120 in words is "forty-two million, one hundred sixty-two thousand, one hundred twenty".