42661188 has 48 divisors (see below), whose sum is σ = 111726720. Its totient is φ = 14076000.

The previous prime is 42661163. The next prime is 42661207. The reversal of 42661188 is 88116624.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8953 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (2327640).

Almost surely, 2^42661188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42661188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55863360).

42661188 is an abundant number, since it is smaller than the sum of its proper divisors (69065532).

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

42661188 is a wasteful number, since it uses less digits than its factorization.

42661188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4017 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 42661188 is about 6531.5532609020. The cubic root of 42661188 is about 349.4172288288.

It can be divided in two parts, 42661 and 188, that added together give a square (42849 = 207²).

The spelling of 42661188 in words is "forty-two million, six hundred sixty-one thousand, one hundred eighty-eight".