4485068340480 has 3024 divisors, whose sum is σ = 21194205258240. Its totient is φ = 886908911616.

The previous prime is 4485068340451. The next prime is 4485068340539. The reversal of 4485068340480 is 840438605844.

It is a happy number.

4485068340480 is a `hidden beast` number, since 4 + 4 + 85 + 0 + 6 + 83 + 4 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 335 ways as a sum of consecutive naturals, for example, 18765976201 + ... + 18765976439.

It is an arithmetic number, because the mean of its divisors is an integer number (7008665760).

Almost surely, 2^{4485068340480} is an apocalyptic number.

4485068340480 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 4485068340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597102629120).

4485068340480 is an abundant number, since it is smaller than the sum of its proper divisors (16709136917760).

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

4485068340480 is a wasteful number, since it uses less digits than its factorization.

4485068340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 4485068340480 in words is "four trillion, four hundred eighty-five billion, sixty-eight million, three hundred forty thousand, four hundred eighty".