4481779984500 has 768 divisors, whose sum is σ = 16747530928128. Its totient is φ = 906125875200.

The previous prime is 4481779984481. The next prime is 4481779984573. The reversal of 4481779984500 is 54899771844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 311076297 + ... + 311090703.

It is an arithmetic number, because the mean of its divisors is an integer number (21806680896).

Almost surely, 2^{4481779984500} 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 4481779984500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373765464064).

4481779984500 is an abundant number, since it is smaller than the sum of its proper divisors (12265750943628).

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

4481779984500 is a wasteful number, since it uses less digits than its factorization.

4481779984500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14545 (or 14533 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 4481779984500 in words is "four trillion, four hundred eighty-one billion, seven hundred seventy-nine million, nine hundred eighty-four thousand, five hundred".