4042401420224 has 112 divisors (see below), whose sum is σ = 8459058316800. Its totient is φ = 1912954475520.

The previous prime is 4042401420217. The next prime is 4042401420251. The reversal of 4042401420224 is 4220241042404.

It is a happy number.

4042401420224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52981847 + ... + 53058089.

It is an arithmetic number, because the mean of its divisors is an integer number (75527306400).

Almost surely, 2^{4042401420224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042401420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229529158400).

4042401420224 is an abundant number, since it is smaller than the sum of its proper divisors (4416656896576).

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

4042401420224 is a wasteful number, since it uses less digits than its factorization.

4042401420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76658 (or 76648 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4042401420224 its reverse (4220241042404), we get a palindrome (8262642462628).

The spelling of 4042401420224 in words is "four trillion, forty-two billion, four hundred one million, four hundred twenty thousand, two hundred twenty-four".