42035140 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 14148288.

The previous prime is 42035093. The next prime is 42035141. The reversal of 42035140 is 4153024.

42035140 = T₄₅₉ + T₄₆₀ + ... + T₇₀₃.

It is not an unprimeable number, because it can be changed into a prime (42035141) by changing a digit.

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, 57457 + ... + 58183.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^42035140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42035140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

42035140 is an abundant number, since it is smaller than the sum of its proper divisors (62534780).

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

42035140 is a wasteful number, since it uses less digits than its factorization.

42035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42035140 is about 6483.4512414300. The cubic root of 42035140 is about 347.6995799859.

Adding to 42035140 its reverse (4153024), we get a palindrome (46188164).

The spelling of 42035140 in words is "forty-two million, thirty-five thousand, one hundred forty".