493301128320 has 3072 divisors, whose sum is σ = 2507065344000. Its totient is φ = 88504565760.

The previous prime is 493301128303. The next prime is 493301128423. The reversal of 493301128320 is 23821103394.

493301128320 is a `hidden beast` number, since 4 + 9 + 3 + 301 + 1 + 28 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6244318041 + ... + 6244318119.

It is an arithmetic number, because the mean of its divisors is an integer number (816102000).

Almost surely, 2^493301128320 is an apocalyptic number.

493301128320 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 493301128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253532672000).

493301128320 is an abundant number, since it is smaller than the sum of its proper divisors (2013764215680).

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

493301128320 is a wasteful number, since it uses less digits than its factorization.

493301128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 493301128320 in words is "four hundred ninety-three billion, three hundred one million, one hundred twenty-eight thousand, three hundred twenty".