4114677441 has 72 divisors (see below), whose sum is σ = 6705919584. Its totient is φ = 2237222400.

The previous prime is 4114677409. The next prime is 4114677491. The reversal of 4114677441 is 1447764114.

It is not a de Polignac number, because 4114677441 - 2⁵ = 4114677409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4114677441.

It is not an unprimeable number, because it can be changed into a prime (4114677491) 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 71 ways as a sum of consecutive naturals, for example, 10260841 + ... + 10261241.

It is an arithmetic number, because the mean of its divisors is an integer number (93137772).

Almost surely, 2^4114677441 is an apocalyptic number.

It is an amenable number.

4114677441 is a deficient number, since it is larger than the sum of its proper divisors (2591242143).

4114677441 is a wasteful number, since it uses less digits than its factorization.

4114677441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 523 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 4114677441 is about 64145.7515428730. The cubic root of 4114677441 is about 1602.4282712858.

The spelling of 4114677441 in words is "four billion, one hundred fourteen million, six hundred seventy-seven thousand, four hundred forty-one".