40131200 has 48 divisors (see below), whose sum is σ = 99144510. Its totient is φ = 16051200.

The previous prime is 40131193. The next prime is 40131209. The reversal of 40131200 is 213104.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35904064 + 4227136 = 5992^2 + 2056^2 .

It is a super-2 number, since 2×40131200² = 3221026426880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3071 + ... + 9470.

Almost surely, 2^40131200 is an apocalyptic number.

40131200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40131200 is an abundant number, since it is smaller than the sum of its proper divisors (59013310).

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

40131200 is a wasteful number, since it uses less digits than its factorization.

40131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12565 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 40131200 is about 6334.9190997202. The cubic root of 40131200 is about 342.3686960056.

Adding to 40131200 its reverse (213104), we get a palindrome (40344304).

The spelling of 40131200 in words is "forty million, one hundred thirty-one thousand, two hundred".