42189840 has 240 divisors, whose sum is σ = 176881536. Its totient is φ = 8755200.

The previous prime is 42189811. The next prime is 42189877. The reversal of 42189840 is 4898124.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 42189795 and 42189804.

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, 55060 + ... + 55820.

Almost surely, 2^42189840 is an apocalyptic number.

42189840 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 42189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

42189840 is an abundant number, since it is smaller than the sum of its proper divisors (134691696).

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

42189840 is a wasteful number, since it uses less digits than its factorization.

42189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

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

The square root of 42189840 is about 6495.3706591695. The cubic root of 42189840 is about 348.1255987385.

The spelling of 42189840 in words is "forty-two million, one hundred eighty-nine thousand, eight hundred forty".