4442301303440 has 320 divisors, whose sum is σ = 14597305712640. Its totient is φ = 1210835589120.

The previous prime is 4442301303403. The next prime is 4442301303469. The reversal of 4442301303440 is 443031032444.

It is a junction number, because it is equal to n+sod(n) for n = 4442301303397 and 4442301303406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61697 + ... + 2981343.

It is an arithmetic number, because the mean of its divisors is an integer number (45616580352).

Almost surely, 2^{4442301303440} is an apocalyptic number.

4442301303440 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 4442301303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298652856320).

4442301303440 is an abundant number, since it is smaller than the sum of its proper divisors (10155004409200).

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

4442301303440 is a wasteful number, since it uses less digits than its factorization.

4442301303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919710 (or 2919704 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4442301303440 its reverse (443031032444), we get a palindrome (4885332335884).

The spelling of 4442301303440 in words is "four trillion, four hundred forty-two billion, three hundred one million, three hundred three thousand, four hundred forty".