4444311201440 has 144 divisors (see below), whose sum is σ = 11545187007816. Its totient is φ = 1615523543040.

The previous prime is 4444311201433. The next prime is 4444311201457. The reversal of 4444311201440 is 441021134444.

It can be written as a sum of positive squares in 4 ways, for example, as 1322969241616 + 3121341959824 = 1150204^2 + 1766732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4444311201397 and 4444311201406.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54883862 + ... + 54964778.

Almost surely, 2^{4444311201440} is an apocalyptic number.

4444311201440 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 4444311201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772593503908).

4444311201440 is an abundant number, since it is smaller than the sum of its proper divisors (7100875806376).

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

4444311201440 is a wasteful number, since it uses less digits than its factorization.

4444311201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83791 (or 83772 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4444311201440 its reverse (441021134444), we get a palindrome (4885332335884).

The spelling of 4444311201440 in words is "four trillion, four hundred forty-four billion, three hundred eleven million, two hundred one thousand, four hundred forty".