444110020414240 has 96 divisors (see below), whose sum is σ = 1056510869158080. Its totient is φ = 176410577132544.

The previous prime is 444110020414201. The next prime is 444110020414387. The reversal of 444110020414240 is 42414020011444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10415607 + ... + 31570633.

It is an arithmetic number, because the mean of its divisors is an integer number (11005321553730).

Almost surely, 2^{444110020414240} is an apocalyptic number.

444110020414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444110020414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528255434579040).

444110020414240 is an abundant number, since it is smaller than the sum of its proper divisors (612400848743840).

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

444110020414240 is a wasteful number, since it uses less digits than its factorization.

444110020414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21155954 (or 21155946 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 444110020414240 its reverse (42414020011444), we get a palindrome (486524040425684).

The spelling of 444110020414240 in words is "four hundred forty-four trillion, one hundred ten billion, twenty million, four hundred fourteen thousand, two hundred forty".