42075240 has 64 divisors (see below), whose sum is σ = 126653760. Its totient is φ = 11182080.

The previous prime is 42075217. The next prime is 42075247. The reversal of 42075240 is 4257024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42075240.

It is not an unprimeable number, because it can be changed into a prime (42075247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65320 + ... + 65960.

It is an arithmetic number, because the mean of its divisors is an integer number (1978965).

Almost surely, 2^42075240 is an apocalyptic number.

42075240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42075240 is an abundant number, since it is smaller than the sum of its proper divisors (84578520).

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

42075240 is a wasteful number, since it uses less digits than its factorization.

42075240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42075240 is about 6486.5429929971. The cubic root of 42075240 is about 347.8101091121.

The spelling of 42075240 in words is "forty-two million, seventy-five thousand, two hundred forty".