4430013220240 has 80 divisors (see below), whose sum is σ = 10655739082800. Its totient is φ = 1710774245376.

The previous prime is 4430013220231. The next prime is 4430013220289. The reversal of 4430013220240 is 420223100344.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 288446333184 + 4141566887056 = 537072^2 + 2035084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×4430013220240⁴ (a number of 52 digits) contains 4444 as substring.

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, 34766566 + ... + 34893754.

It is an arithmetic number, because the mean of its divisors is an integer number (133196738535).

Almost surely, 2^{4430013220240} is an apocalyptic number.

4430013220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430013220240 is an abundant number, since it is smaller than the sum of its proper divisors (6225725862560).

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

4430013220240 is a wasteful number, since it uses less digits than its factorization.

4430013220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142244 (or 142238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4430013220240 its reverse (420223100344), we get a palindrome (4850236320584).

The spelling of 4430013220240 in words is "four trillion, four hundred thirty billion, thirteen million, two hundred twenty thousand, two hundred forty".