4481965716480 has 1408 divisors, whose sum is σ = 18583935467520. Its totient is φ = 1015831756800.

The previous prime is 4481965716451. The next prime is 4481965716491. The reversal of 4481965716480 is 846175691844.

4481965716480 is a `hidden beast` number, since 4 + 4 + 8 + 1 + 96 + 57 + 16 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16538618745 + ... + 16538619015.

Almost surely, 2^{4481965716480} is an apocalyptic number.

4481965716480 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 4481965716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291967733760).

4481965716480 is an abundant number, since it is smaller than the sum of its proper divisors (14101969751040).

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

4481965716480 is an equidigital number, since it uses as much as digits as its factorization.

4481965716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4481965716480 in words is "four trillion, four hundred eighty-one billion, nine hundred sixty-five million, seven hundred sixteen thousand, four hundred eighty".