42775640 has 64 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 16427520.

The previous prime is 42775619. The next prime is 42775643. The reversal of 42775640 is 4657724.

42775640 = 212² + 213² + ... + 516².

It is a self number, because there is not a number n which added to its sum of digits gives 42775640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42775643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114494 + ... + 114866.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 2^42775640 is an apocalyptic number.

42775640 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 42775640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

42775640 is an abundant number, since it is smaller than the sum of its proper divisors (57396520).

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

42775640 is a wasteful number, since it uses less digits than its factorization.

42775640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 42775640 is about 6540.3088612083. The cubic root of 42775640 is about 349.7294235309.

It can be divided in two parts, 427 and 75640, that added together give a palindrome (76067).

The spelling of 42775640 in words is "forty-two million, seven hundred seventy-five thousand, six hundred forty".