40505985 has 48 divisors (see below), whose sum is σ = 80078544. Its totient is φ = 18763776.

The previous prime is 40505981. The next prime is 40506001. The reversal of 40505985 is 58950504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4613904 + 35892081 = 2148^2 + 5991^2 .

It is not a de Polignac number, because 40505985 - 2² = 40505981 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40505981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7909 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (1668303).

Almost surely, 2^40505985 is an apocalyptic number.

40505985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40505985 is a deficient number, since it is larger than the sum of its proper divisors (39572559).

40505985 is a wasteful number, since it uses less digits than its factorization.

40505985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 40505985 is about 6364.4312393175. The cubic root of 40505985 is about 343.4311882655.

The spelling of 40505985 in words is "forty million, five hundred five thousand, nine hundred eighty-five".