42081120 has 240 divisors, whose sum is σ = 158070528. Its totient is φ = 10506240.

The previous prime is 42081113. The next prime is 42081139. The reversal of 42081120 is 2118024.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 42081093 and 42081102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220225 + ... + 220415.

Almost surely, 2^42081120 is an apocalyptic number.

42081120 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 42081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035264).

42081120 is an abundant number, since it is smaller than the sum of its proper divisors (115989408).

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

42081120 is a wasteful number, since it uses less digits than its factorization.

42081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 42081120 is about 6486.9962232146. The cubic root of 42081120 is about 347.8263104709.

Adding to 42081120 its reverse (2118024), we get a palindrome (44199144).

The spelling of 42081120 in words is "forty-two million, eighty-one thousand, one hundred twenty".