4442400331424 has 24 divisors (see below), whose sum is σ = 9541064348928. Its totient is φ = 2019272877760.

The previous prime is 4442400331423. The next prime is 4442400331433. The reversal of 4442400331424 is 4241330042444.

It is not an unprimeable number, because it can be changed into a prime (4442400331423) 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, 6310227392 + ... + 6310228095.

It is an arithmetic number, because the mean of its divisors is an integer number (397544347872).

Almost surely, 2^{4442400331424} is an apocalyptic number.

4442400331424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4442400331424 is an abundant number, since it is smaller than the sum of its proper divisors (5098664017504).

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

4442400331424 is a wasteful number, since it uses less digits than its factorization.

4442400331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620455508 (or 12620455500 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 4442400331424 its reverse (4241330042444), we get a palindrome (8683730373868).

The spelling of 4442400331424 in words is "four trillion, four hundred forty-two billion, four hundred million, three hundred thirty-one thousand, four hundred twenty-four".