10814168240 has 40 divisors (see below), whose sum is σ = 25217612160. Its totient is φ = 4312820736.

The previous prime is 10814168227. The next prime is 10814168257. The reversal of 10814168240 is 4286141801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10814168240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173600 + ... + 227519.

It is an arithmetic number, because the mean of its divisors is an integer number (630440304).

Almost surely, 2^10814168240 is an apocalyptic number.

10814168240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10814168240 is an abundant number, since it is smaller than the sum of its proper divisors (14403443920).

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

10814168240 is a wasteful number, since it uses less digits than its factorization.

10814168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401469 (or 401463 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 10814168240 in words is "ten billion, eight hundred fourteen million, one hundred sixty-eight thousand, two hundred forty".