493642128000 has 512 divisors, whose sum is σ = 1910051020800. Its totient is φ = 110428262400.

The previous prime is 493642127999. The next prime is 493642128053. The reversal of 493642128000 is 821246394.

493642128000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 493642128000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15776371 + ... + 15807629.

It is an arithmetic number, because the mean of its divisors is an integer number (3730568400).

Almost surely, 2^493642128000 is an apocalyptic number.

493642128000 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 493642128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955025510400).

493642128000 is an abundant number, since it is smaller than the sum of its proper divisors (1416408892800).

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

493642128000 is a wasteful number, since it uses less digits than its factorization.

493642128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345 (or 31323 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 493642128000 in words is "four hundred ninety-three billion, six hundred forty-two million, one hundred twenty-eight thousand".