4433320331440 has 320 divisors, whose sum is σ = 13843543956480. Its totient is φ = 1275138846720.

The previous prime is 4433320331423. The next prime is 4433320331483. The reversal of 4433320331440 is 441330233344.

It is a super-2 number, since 2×4433320331440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4433320331396 and 4433320331405.

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, 371324991 + ... + 371336929.

It is an arithmetic number, because the mean of its divisors is an integer number (43261074864).

Almost surely, 2^{4433320331440} is an apocalyptic number.

4433320331440 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 4433320331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921771978240).

4433320331440 is an abundant number, since it is smaller than the sum of its proper divisors (9410223625040).

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

4433320331440 is a wasteful number, since it uses less digits than its factorization.

4433320331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16620 (or 16614 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 4433320331440 its reverse (441330233344), we get a palindrome (4874650564784).

The spelling of 4433320331440 in words is "four trillion, four hundred thirty-three billion, three hundred twenty million, three hundred thirty-one thousand, four hundred forty".