4431021410440 has 16 divisors (see below), whose sum is σ = 9969798173580. Its totient is φ = 1772408564160.

The previous prime is 4431021410419. The next prime is 4431021410447. The reversal of 4431021410440 is 440141201344.

It can be written as a sum of positive squares in 2 ways, for example, as 4272166554084 + 158854856356 = 2066922^2 + 398566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4431021410399 and 4431021410408.

It is not an unprimeable number, because it can be changed into a prime (4431021410447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55387767591 + ... + 55387767670.

Almost surely, 2^{4431021410440} is an apocalyptic number.

4431021410440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431021410440 is an abundant number, since it is smaller than the sum of its proper divisors (5538776763140).

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

4431021410440 is a wasteful number, since it uses less digits than its factorization.

4431021410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110775535272 (or 110775535268 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4431021410440 its reverse (440141201344), we get a palindrome (4871162611784).

The spelling of 4431021410440 in words is "four trillion, four hundred thirty-one billion, twenty-one million, four hundred ten thousand, four hundred forty".