42427640 has 64 divisors (see below), whose sum is σ = 100776960. Its totient is φ = 16044160.

The previous prime is 42427639. The next prime is 42427681. The reversal of 42427640 is 4672424.

42427640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98225 + ... + 98655.

It is an arithmetic number, because the mean of its divisors is an integer number (1574640).

Almost surely, 2^42427640 is an apocalyptic number.

42427640 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 42427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50388480).

42427640 is an abundant number, since it is smaller than the sum of its proper divisors (58349320).

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

42427640 is a wasteful number, since it uses less digits than its factorization.

42427640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 42427640 is about 6513.6502822918. The cubic root of 42427640 is about 348.7784353514.

The spelling of 42427640 in words is "forty-two million, four hundred twenty-seven thousand, six hundred forty".