4004214040 has 32 divisors (see below), whose sum is σ = 9020529360. Its totient is φ = 1599721600.

The previous prime is 4004213999. The next prime is 4004214047. The reversal of 4004214040 is 404124004.

It is a junction number, because it is equal to n+sod(n) for n = 4004213999 and 4004214017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004214047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28126 + ... + 93805.

Almost surely, 2^4004214040 is an apocalyptic number.

4004214040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004214040 is an abundant number, since it is smaller than the sum of its proper divisors (5016315320).

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

4004214040 is a wasteful number, since it uses less digits than its factorization.

4004214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122763 (or 122759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4004214040 is about 63278.8593449661. The cubic root of 4004214040 is about 1587.9583039512.

Adding to 4004214040 its reverse (404124004), we get a palindrome (4408338044).

The spelling of 4004214040 in words is "four billion, four million, two hundred fourteen thousand, forty".