42661128 has 16 divisors (see below), whose sum is σ = 106652880. Its totient is φ = 14220368.

The previous prime is 42661103. The next prime is 42661133. The reversal of 42661128 is 82116624.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42661095 and 42661104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 888750 + ... + 888797.

It is an arithmetic number, because the mean of its divisors is an integer number (6665805).

Almost surely, 2^42661128 is an apocalyptic number.

It is an amenable number.

42661128 is an abundant number, since it is smaller than the sum of its proper divisors (63991752).

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

42661128 is a wasteful number, since it uses less digits than its factorization.

42661128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777556 (or 1777552 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 42661128 is about 6531.5486678123. The cubic root of 42661128 is about 349.4170650183.

The spelling of 42661128 in words is "forty-two million, six hundred sixty-one thousand, one hundred twenty-eight".