814040418 has 32 divisors (see below), whose sum is σ = 1659733632. Its totient is φ = 266112000.

The previous prime is 814040417. The next prime is 814040429.

814040418 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×814040418² = 1325323604275229448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814040413) 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 15 ways as a sum of consecutive naturals, for example, 77268 + ... + 87168.

It is an arithmetic number, because the mean of its divisors is an integer number (51866676).

Almost surely, 2^814040418 is an apocalyptic number.

814040418 is an abundant number, since it is smaller than the sum of its proper divisors (845693214).

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

814040418 is a wasteful number, since it uses less digits than its factorization.

814040418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 814040418 is about 28531.3935516652. The cubic root of 814040418 is about 933.7171222938.

The spelling of 814040418 in words is "eight hundred fourteen million, forty thousand, four hundred eighteen".