42057640 has 32 divisors (see below), whose sum is σ = 99612000. Its totient is φ = 15937344.

The previous prime is 42057629. The next prime is 42057671. The reversal of 42057640 is 4675024.

42057640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42057599 and 42057608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26910 + ... + 28429.

It is an arithmetic number, because the mean of its divisors is an integer number (3112875).

Almost surely, 2^42057640 is an apocalyptic number.

42057640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42057640 is an abundant number, since it is smaller than the sum of its proper divisors (57554360).

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

42057640 is a wasteful number, since it uses less digits than its factorization.

42057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55369 (or 55365 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42057640 is about 6485.1861962476. The cubic root of 42057640 is about 347.7616062265.

The spelling of 42057640 in words is "forty-two million, fifty-seven thousand, six hundred forty".