4014204040 has 192 divisors, whose sum is σ = 11460556800. Its totient is φ = 1238561280.

The previous prime is 4014204017. The next prime is 4014204079. The reversal of 4014204040 is 404024104.

4014204040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4014204040² = 32227668149504643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014203999 and 4014204017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3692377 + ... + 3693463.

It is an arithmetic number, because the mean of its divisors is an integer number (59690400).

Almost surely, 2^4014204040 is an apocalyptic number.

4014204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730278400).

4014204040 is an abundant number, since it is smaller than the sum of its proper divisors (7446352760).

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

4014204040 is a wasteful number, since it uses less digits than its factorization.

4014204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1221 counting only the distinct ones).

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

The square root of 4014204040 is about 63357.7464877027. The cubic root of 4014204040 is about 1589.2777912812.

Adding to 4014204040 its reverse (404024104), we get a palindrome (4418228144).

The spelling of 4014204040 in words is "four billion, fourteen million, two hundred four thousand, forty".