40010985 has 48 divisors (see below), whose sum is σ = 80421120. Its totient is φ = 18023040.

The previous prime is 40010983. The next prime is 40010989. The reversal of 40010985 is 58901004.

40010985 = 118² + 119² + ... + 495².

40010985 is a nontrivial binomial coefficient, being equal to C(8946, 2).

It is not a de Polignac number, because 40010985 - 2¹ = 40010983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40010983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21471 + ... + 23259.

It is an arithmetic number, because the mean of its divisors is an integer number (1675440).

Almost surely, 2^40010985 is an apocalyptic number.

40010985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40010985 is the 8945-th triangular number and also the 4473-rd hexagonal number.

It is an amenable number.

40010985 is an abundant number, since it is smaller than the sum of its proper divisors (40410135).

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

40010985 is a wasteful number, since it uses less digits than its factorization.

40010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 40010985 is about 6325.4237012235. The cubic root of 40010985 is about 342.0264932795.

Adding to 40010985 its reverse (58901004), we get a palindrome (98911989).

The spelling of 40010985 in words is "forty million, ten thousand, nine hundred eighty-five".