40205160 has 80 divisors (see below), whose sum is σ = 135144900. Its totient is φ = 10720512.

The previous prime is 40205141. The next prime is 40205177. The reversal of 40205160 is 6150204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34644996 + 5560164 = 5886^2 + 2358^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2965 + ... + 9444.

Almost surely, 2^40205160 is an apocalyptic number.

40205160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40205160 is an abundant number, since it is smaller than the sum of its proper divisors (94939740).

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

40205160 is a wasteful number, since it uses less digits than its factorization.

40205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432 (or 12419 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40205160 is about 6340.7538983941. The cubic root of 40205160 is about 342.5788903111.

Adding to 40205160 its reverse (6150204), we get a palindrome (46355364).

It can be divided in two parts, 4020 and 5160, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 40205160 in words is "forty million, two hundred five thousand, one hundred sixty".