1414135305 has 96 divisors (see below), whose sum is σ = 2788007040. Its totient is φ = 657024000.

The previous prime is 1414135291. The next prime is 1414135321. The reversal of 1414135305 is 5035314141.

It is a happy number.

It is not a de Polignac number, because 1414135305 - 2⁵ = 1414135273 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196815 + ... + 1197995.

It is an arithmetic number, because the mean of its divisors is an integer number (29041740).

Almost surely, 2^1414135305 is an apocalyptic number.

1414135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1414135305 is a deficient number, since it is larger than the sum of its proper divisors (1373871735).

1414135305 is a wasteful number, since it uses less digits than its factorization.

1414135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1414135305 is about 37604.9904268037. The cubic root of 1414135305 is about 1122.4413436214.

Adding to 1414135305 its reverse (5035314141), we get a palindrome (6449449446).

The spelling of 1414135305 in words is "one billion, four hundred fourteen million, one hundred thirty-five thousand, three hundred five".