414111113 has 32 divisors (see below), whose sum is σ = 492011520. Its totient is φ = 345280320.

The previous prime is 414111107. The next prime is 414111149. The reversal of 414111113 is 311111414.

It is a cyclic number.

It is not a de Polignac number, because 414111113 - 2¹⁴ = 414094729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414111091 and 414111100.

It is not an unprimeable number, because it can be changed into a prime (414117113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398048 + ... + 399086.

It is an arithmetic number, because the mean of its divisors is an integer number (15375360).

Almost surely, 2^414111113 is an apocalyptic number.

414111113 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414111113 is a deficient number, since it is larger than the sum of its proper divisors (77900407).

414111113 is a wasteful number, since it uses less digits than its factorization.

414111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149.

The product of its digits is 48, while the sum is 17.

The square root of 414111113 is about 20349.7202192069. The cubic root of 414111113 is about 745.3706625112.

Adding to 414111113 its reverse (311111414), we get a palindrome (725222527).

It can be divided in two parts, 41411 and 1113, that added together give a palindrome (42524).

The spelling of 414111113 in words is "four hundred fourteen million, one hundred eleven thousand, one hundred thirteen".