42642138 has 64 divisors (see below), whose sum is σ = 110979072. Its totient is φ = 10591680.

The previous prime is 42642133. The next prime is 42642179. The reversal of 42642138 is 83124624.

42642138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42642138² = 3636703866422088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42642133) 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 31 ways as a sum of consecutive naturals, for example, 8620 + ... + 12632.

It is an arithmetic number, because the mean of its divisors is an integer number (1734048).

Almost surely, 2^42642138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42642138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55489536).

42642138 is an abundant number, since it is smaller than the sum of its proper divisors (68336934).

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

42642138 is a wasteful number, since it uses less digits than its factorization.

42642138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059.

The product of its digits is 9216, while the sum is 30.

The square root of 42642138 is about 6530.0947925738. The cubic root of 42642138 is about 349.3652112959.

The spelling of 42642138 in words is "forty-two million, six hundred forty-two thousand, one hundred thirty-eight".