42627040 has 48 divisors (see below), whose sum is σ = 101189088. Its totient is φ = 16969216.

The previous prime is 42627037. The next prime is 42627047. The reversal of 42627040 is 4072624.

42627040 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 = 42626996 and 42627014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42627047) by changing a digit.

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, 41574 + ... + 42586.

It is an arithmetic number, because the mean of its divisors is an integer number (2108106).

Almost surely, 2^42627040 is an apocalyptic number.

42627040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594544).

42627040 is an abundant number, since it is smaller than the sum of its proper divisors (58562048).

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

42627040 is a wasteful number, since it uses less digits than its factorization.

42627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 42627040 is about 6528.9386580056. The cubic root of 42627040 is about 349.3239740061.

Adding to 42627040 its reverse (4072624), we get a palindrome (46699664).

The spelling of 42627040 in words is "forty-two million, six hundred twenty-seven thousand, forty".