4002400244224 has 40 divisors (see below), whose sum is σ = 8008263269820. Its totient is φ = 1998377373696.

The previous prime is 4002400244197. The next prime is 4002400244237. The reversal of 4002400244224 is 4224420042004.

It can be written as a sum of positive squares in 2 ways, for example, as 2803883270400 + 1198516973824 = 1674480^2 + 1094768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002400244192 and 4002400244201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5149819 + ... + 5875834.

Almost surely, 2^{4002400244224} is an apocalyptic number.

It is an amenable number.

4002400244224 is an abundant number, since it is smaller than the sum of its proper divisors (4005863025596).

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

4002400244224 is an equidigital number, since it uses as much as digits as its factorization.

4002400244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026380 (or 11026364 counting only the distinct ones).

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

Adding to 4002400244224 its reverse (4224420042004), we get a palindrome (8226820286228).

The spelling of 4002400244224 in words is "four trillion, two billion, four hundred million, two hundred forty-four thousand, two hundred twenty-four".