40036000 has 48 divisors (see below), whose sum is σ = 98378280. Its totient is φ = 16012800.

The previous prime is 40035991. The next prime is 40036019. The reversal of 40036000 is 63004.

It can be written as a sum of positive squares in 4 ways, for example, as 25928464 + 14107536 = 5092^2 + 3756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005 + ... + 9004.

Almost surely, 2^40036000 is an apocalyptic number.

40036000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40036000 is an abundant number, since it is smaller than the sum of its proper divisors (58342280).

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

40036000 is a wasteful number, since it uses less digits than its factorization.

40036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 40036000 is about 6327.4007301577. The cubic root of 40036000 is about 342.0977571280.

Adding to 40036000 its reverse (63004), we get a palindrome (40099004).

The spelling of 40036000 in words is "forty million, thirty-six thousand", and thus it is an eban number.