42735140 has 48 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 14595456.

The previous prime is 42735139. The next prime is 42735157. The reversal of 42735140 is 4153724.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53222 + ... + 54018.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^42735140 is an apocalyptic number.

It is an amenable number.

42735140 is an abundant number, since it is smaller than the sum of its proper divisors (60226012).

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

42735140 is a wasteful number, since it uses less digits than its factorization.

42735140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 42735140 is about 6537.2119439406. The cubic root of 42735140 is about 349.6190140067.

Adding to 42735140 its reverse (4153724), we get a palindrome (46888864).

It can be divided in two parts, 42735 and 140, that added together give a cube (42875 = 35³).

The spelling of 42735140 in words is "forty-two million, seven hundred thirty-five thousand, one hundred forty".