42089124 has 144 divisors (see below), whose sum is σ = 127628928. Its totient is φ = 10560000.

The previous prime is 42089119. The next prime is 42089167. The reversal of 42089124 is 42198024.

It is a junction number, because it is equal to n+sod(n) for n = 42089091 and 42089100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416674 + ... + 416774.

It is an arithmetic number, because the mean of its divisors is an integer number (886312).

Almost surely, 2^42089124 is an apocalyptic number.

42089124 is a gapful number since it is divisible by the number (44) 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 42089124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464).

42089124 is an abundant number, since it is smaller than the sum of its proper divisors (85539804).

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

42089124 is a wasteful number, since it uses less digits than its factorization.

42089124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

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

The square root of 42089124 is about 6487.6131204011. The cubic root of 42089124 is about 347.8483617320.

Subtracting 42089124 from its reverse (42198024), we obtain a square (108900 = 330²).

The spelling of 42089124 in words is "forty-two million, eighty-nine thousand, one hundred twenty-four".