42057040 has 20 divisors (see below), whose sum is σ = 97782804. Its totient is φ = 16822784.

The previous prime is 42057019. The next prime is 42057073. The reversal of 42057040 is 4075024.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 15555136 = 5148^2 + 3944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×42057040² = 3537589227123200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 262777 + ... + 262936.

Almost surely, 2^42057040 is an apocalyptic number.

42057040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42057040 is an abundant number, since it is smaller than the sum of its proper divisors (55725764).

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

42057040 is a wasteful number, since it uses less digits than its factorization.

42057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525726 (or 525720 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42057040 is about 6485.1399368094. The cubic root of 42057040 is about 347.7599524806.

The spelling of 42057040 in words is "forty-two million, fifty-seven thousand, forty".