40128160 has 48 divisors (see below), whose sum is σ = 100386216. Its totient is φ = 15106048.

The previous prime is 40128157. The next prime is 40128161. The reversal of 40128160 is 6182104.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 3984016 = 6012^2 + 1996^2 .

It is a super-2 number, since 2×40128160² = 3220538449971200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40128161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4657 + ... + 10096.

Almost surely, 2^40128160 is an apocalyptic number.

40128160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40128160 is an abundant number, since it is smaller than the sum of its proper divisors (60258056).

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

40128160 is a wasteful number, since it uses less digits than its factorization.

40128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14785 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 40128160 is about 6334.6791552532. The cubic root of 40128160 is about 342.3600508025.

It can be divided in two parts, 401 and 28160, that added together give a 4-th power (28561 = 13⁴).

The spelling of 40128160 in words is "forty million, one hundred twenty-eight thousand, one hundred sixty".