414101114 has 64 divisors (see below), whose sum is σ = 758025216. Its totient is φ = 165970944.

The previous prime is 414101101. The next prime is 414101119. The reversal of 414101114 is 411101414.

It is a junction number, because it is equal to n+sod(n) for n = 414101092 and 414101101.

It is not an unprimeable number, because it can be changed into a prime (414101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777142 + ... + 1777374.

It is an arithmetic number, because the mean of its divisors is an integer number (11844144).

Almost surely, 2^414101114 is an apocalyptic number.

414101114 is a deficient number, since it is larger than the sum of its proper divisors (343924102).

414101114 is a wasteful number, since it uses less digits than its factorization.

414101114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 414101114 is about 20349.4745386705. The cubic root of 414101114 is about 745.3646632991.

Adding to 414101114 its reverse (411101414), we get a palindrome (825202528).

It can be divided in two parts, 41410 and 1114, that added together give a palindrome (42524).

The spelling of 414101114 in words is "four hundred fourteen million, one hundred one thousand, one hundred fourteen".