42240160 has 48 divisors (see below), whose sum is σ = 100318176. Its totient is φ = 16807168.

The previous prime is 42240131. The next prime is 42240161. The reversal of 42240160 is 6104224.

It is a super-2 number, since 2×42240160² = 3568462233651200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42240161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35739 + ... + 36901.

It is an arithmetic number, because the mean of its divisors is an integer number (2089962).

Almost surely, 2^42240160 is an apocalyptic number.

42240160 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 42240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50159088).

42240160 is an abundant number, since it is smaller than the sum of its proper divisors (58078016).

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

42240160 is a wasteful number, since it uses less digits than its factorization.

42240160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42240160 is about 6499.2430328462. The cubic root of 42240160 is about 348.2639473730.

Adding to 42240160 its reverse (6104224), we get a palindrome (48344384).

The spelling of 42240160 in words is "forty-two million, two hundred forty thousand, one hundred sixty".