4100009985 has 48 divisors (see below), whose sum is σ = 7291275264. Its totient is φ = 2130304896.

The previous prime is 4100009933. The next prime is 4100010007. The reversal of 4100009985 is 5899000014.

It is not a de Polignac number, because 4100009985 - 2¹³ = 4100001793 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 467299 + ... + 475991.

It is an arithmetic number, because the mean of its divisors is an integer number (151901568).

Almost surely, 2^4100009985 is an apocalyptic number.

4100009985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4100009985 is a deficient number, since it is larger than the sum of its proper divisors (3191265279).

4100009985 is a wasteful number, since it uses less digits than its factorization.

4100009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8971 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 4100009985 is about 64031.3203440316. The cubic root of 4100009985 is about 1600.5219631666.

Adding to 4100009985 its reverse (5899000014), we get a palindrome (9999009999).

The spelling of 4100009985 in words is "four billion, one hundred million, nine thousand, nine hundred eighty-five".