42009120 has 72 divisors (see below), whose sum is σ = 143361036. Its totient is φ = 11202048.

The previous prime is 42009101. The next prime is 42009127. The reversal of 42009120 is 2190024.

It can be written as a sum of positive squares in 2 ways, for example, as 37896336 + 4112784 = 6156^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 42009093 and 42009102.

It is not an unprimeable number, because it can be changed into a prime (42009127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13147 + ... + 16026.

Almost surely, 2^42009120 is an apocalyptic number.

42009120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42009120 is an abundant number, since it is smaller than the sum of its proper divisors (101351916).

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

42009120 is a wasteful number, since it uses less digits than its factorization.

42009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29194 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42009120 is about 6481.4442834911. Note that the first 3 decimals coincide. The cubic root of 42009120 is about 347.6278224797.

Adding to 42009120 its reverse (2190024), we get a palindrome (44199144).

The spelling of 42009120 in words is "forty-two million, nine thousand, one hundred twenty".