4444533168320 has 224 divisors, whose sum is σ = 12197231050752. Its totient is φ = 1511033868288.

The previous prime is 4444533168319. The next prime is 4444533168329. The reversal of 4444533168320 is 238613354444.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (4444533168329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807067007 + ... + 807072513.

Almost surely, 2^{4444533168320} is an apocalyptic number.

4444533168320 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 4444533168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098615525376).

4444533168320 is an abundant number, since it is smaller than the sum of its proper divisors (7752697882432).

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

4444533168320 is a wasteful number, since it uses less digits than its factorization.

4444533168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 4444533168320 in words is "four trillion, four hundred forty-four billion, five hundred thirty-three million, one hundred sixty-eight thousand, three hundred twenty".