42406160 has 40 divisors (see below), whose sum is σ = 104397336. Its totient is φ = 15964160.

The previous prime is 42406129. The next prime is 42406193. The reversal of 42406160 is 6160424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 41422096 = 992^2 + 6436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14231 + ... + 16950.

Almost surely, 2^42406160 is an apocalyptic number.

42406160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42406160 is an abundant number, since it is smaller than the sum of its proper divisors (61991176).

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

42406160 is a wasteful number, since it uses less digits than its factorization.

42406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31211 (or 31205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42406160 is about 6512.0012285011. The cubic root of 42406160 is about 348.7195662947.

Adding to 42406160 its reverse (6160424), we get a palindrome (48566584).

The spelling of 42406160 in words is "forty-two million, four hundred six thousand, one hundred sixty".