414111141 has 12 divisors (see below), whose sum is σ = 614327532. Its totient is φ = 268612416.

The previous prime is 414111107. The next prime is 414111149. The reversal of 414111141 is 141111414.

414111141 is a `hidden beast` number, since 414 + 111 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143640225 + 270470916 = 11985^2 + 16446^2 .

It is not a de Polignac number, because 414111141 - 2⁶ = 414111077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414111149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621456 + ... + 622121.

It is an arithmetic number, because the mean of its divisors is an integer number (51193961).

Almost surely, 2^414111141 is an apocalyptic number.

It is an amenable number.

414111141 is a deficient number, since it is larger than the sum of its proper divisors (200216391).

414111141 is a wasteful number, since it uses less digits than its factorization.

414111141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243620 (or 1243617 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 414111141 is about 20349.7209071771. The cubic root of 414111141 is about 745.3706793106.

Adding to 414111141 its reverse (141111414), we get a palindrome (555222555).

The spelling of 414111141 in words is "four hundred fourteen million, one hundred eleven thousand, one hundred forty-one".