4004114500 has 24 divisors (see below), whose sum is σ = 8744987160. Its totient is φ = 1601645600.

The previous prime is 4004114497. The next prime is 4004114519. The reversal of 4004114500 is 54114004.

4004114500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 4004105284 = 96^2 + 63278^2 .

It is a super-2 number, since 2×4004114500² = 32065865858220500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4003615 + ... + 4004614.

It is an arithmetic number, because the mean of its divisors is an integer number (364374465).

Almost surely, 2^4004114500 is an apocalyptic number.

It is an amenable number.

4004114500 is an abundant number, since it is smaller than the sum of its proper divisors (4740872660).

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

4004114500 is a wasteful number, since it uses less digits than its factorization.

4004114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008248 (or 8008236 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4004114500 is about 63278.0728214758. The cubic root of 4004114500 is about 1587.9451455904.

Adding to 4004114500 its reverse (54114004), we get a palindrome (4058228504).

The spelling of 4004114500 in words is "four billion, four million, one hundred fourteen thousand, five hundred".