4459458132480 has 320 divisors, whose sum is σ = 15547339906560. Its totient is φ = 1083815755776.

The previous prime is 4459458132461. The next prime is 4459458132487. The reversal of 4459458132480 is 842318549544.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 4459458132480.

It is not an unprimeable number, because it can be changed into a prime (4459458132487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7604664 + ... + 8170056.

It is an arithmetic number, because the mean of its divisors is an integer number (48585437208).

Almost surely, 2^{4459458132480} is an apocalyptic number.

4459458132480 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 4459458132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773669953280).

4459458132480 is an abundant number, since it is smaller than the sum of its proper divisors (11087881774080).

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

4459458132480 is a wasteful number, since it uses less digits than its factorization.

4459458132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565511 (or 565495 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 4459458132480 in words is "four trillion, four hundred fifty-nine billion, four hundred fifty-eight million, one hundred thirty-two thousand, four hundred eighty".