42169920 has 224 divisors, whose sum is σ = 150205440. Its totient is φ = 9953280.

The previous prime is 42169859. The next prime is 42169931. The reversal of 42169920 is 2996124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386826 + ... + 386934.

It is an arithmetic number, because the mean of its divisors is an integer number (670560).

Almost surely, 2^42169920 is an apocalyptic number.

42169920 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 42169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75102720).

42169920 is an abundant number, since it is smaller than the sum of its proper divisors (108035520).

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

42169920 is a wasteful number, since it uses less digits than its factorization.

42169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 42169920 is about 6493.8370783382. The cubic root of 42169920 is about 348.0708007617.

The spelling of 42169920 in words is "forty-two million, one hundred sixty-nine thousand, nine hundred twenty".