4579328457120 has 192 divisors, whose sum is σ = 14608709216640. Its totient is φ = 1205671661568.

The previous prime is 4579328457101. The next prime is 4579328457167. The reversal of 4579328457120 is 217548239754.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14651922 + ... + 14961198.

It is an arithmetic number, because the mean of its divisors is an integer number (76087027170).

Almost surely, 2^{4579328457120} is an apocalyptic number.

4579328457120 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 4579328457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304354608320).

4579328457120 is an abundant number, since it is smaller than the sum of its proper divisors (10029380759520).

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

4579328457120 is a wasteful number, since it uses less digits than its factorization.

4579328457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309687 (or 309679 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 4579328457120 in words is "four trillion, five hundred seventy-nine billion, three hundred twenty-eight million, four hundred fifty-seven thousand, one hundred twenty".