4204004240440 has 64 divisors (see below), whose sum is σ = 9683891820000. Its totient is φ = 1642005204480.

The previous prime is 4204004240419. The next prime is 4204004240441. The reversal of 4204004240440 is 440424004024.

It is a junction number, because it is equal to n+sod(n) for n = 4204004240399 and 4204004240408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204004240441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626071 + ... + 6329350.

Almost surely, 2^{4204004240440} is an apocalyptic number.

4204004240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4204004240440 is an abundant number, since it is smaller than the sum of its proper divisors (5479887579560).

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

4204004240440 is a wasteful number, since it uses less digits than its factorization.

4204004240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955640 (or 11955636 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4204004240440 its reverse (440424004024), we get a palindrome (4644428244464).

It can be divided in two parts, 4204004 and 240440, that added together give a palindrome (4444444).

The spelling of 4204004240440 in words is "four trillion, two hundred four billion, four million, two hundred forty thousand, four hundred forty".