4471744393216 has 416 divisors, whose sum is σ = 10039938048000. Its totient is φ = 1982799544320.

The previous prime is 4471744393211. The next prime is 4471744393219. The reversal of 4471744393216 is 6123934471744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4471744393211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12813021010 + ... + 12813021358.

Almost surely, 2^{4471744393216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471744393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019969024000).

4471744393216 is an abundant number, since it is smaller than the sum of its proper divisors (5568193654784).

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

4471744393216 is a wasteful number, since it uses less digits than its factorization.

4471744393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 55.

The spelling of 4471744393216 in words is "four trillion, four hundred seventy-one billion, seven hundred forty-four million, three hundred ninety-three thousand, two hundred sixteen".