443221413440 has 224 divisors, whose sum is σ = 1170066325344. Its totient is φ = 158854348800.

The previous prime is 443221413421. The next prime is 443221413461. The reversal of 443221413440 is 44314122344.

It can be written as a sum of positive squares in 16 ways, for example, as 12381457984 + 430839955456 = 111272^2 + 656384^2 .

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 = 443221413397 and 443221413406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70338290 + ... + 70344590.

It is an arithmetic number, because the mean of its divisors is an integer number (5223510381).

Almost surely, 2^443221413440 is an apocalyptic number.

443221413440 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 443221413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585033162672).

443221413440 is an abundant number, since it is smaller than the sum of its proper divisors (726844911904).

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

443221413440 is a wasteful number, since it uses less digits than its factorization.

443221413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 443221413440 its reverse (44314122344), we get a palindrome (487535535784).

The spelling of 443221413440 in words is "four hundred forty-three billion, two hundred twenty-one million, four hundred thirteen thousand, four hundred forty".