42078240 has 72 divisors (see below), whose sum is σ = 143596908. Its totient is φ = 11220480.

The previous prime is 42078233. The next prime is 42078241. The reversal of 42078240 is 4287024.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 5934096 = 6012^2 + 2436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42078241) 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, 13171 + ... + 16050.

Almost surely, 2^42078240 is an apocalyptic number.

42078240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42078240 is an abundant number, since it is smaller than the sum of its proper divisors (101518668).

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

42078240 is a wasteful number, since it uses less digits than its factorization.

42078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42078240 is about 6486.7742368607. The cubic root of 42078240 is about 347.8183753000.

The spelling of 42078240 in words is "forty-two million, seventy-eight thousand, two hundred forty".