4114134414 has 96 divisors (see below), whose sum is σ = 9896796000. Its totient is φ = 1226969856.

The previous prime is 4114134413. The next prime is 4114134449. The reversal of 4114134414 is 4144314114.

4114134414 is a `hidden beast` number, since 4 + 114 + 134 + 414 = 666.

It is a super-2 number, since 2×4114134414² = 33852203952918246792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114134413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743837 + ... + 2745335.

It is an arithmetic number, because the mean of its divisors is an integer number (103091625).

Almost surely, 2^4114134414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114134414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948398000).

4114134414 is an abundant number, since it is smaller than the sum of its proper divisors (5782661586).

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

4114134414 is a wasteful number, since it uses less digits than its factorization.

4114134414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1871 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4114134414 is about 64141.5186443227. The cubic root of 4114134414 is about 1602.3577756749.

Adding to 4114134414 its reverse (4144314114), we get a palindrome (8258448528).

The spelling of 4114134414 in words is "four billion, one hundred fourteen million, one hundred thirty-four thousand, four hundred fourteen".