493081344000 has 1920 divisors, whose sum is σ = 2176689715200. Its totient is φ = 108689817600.

The previous prime is 493081343917. The next prime is 493081344011. The reversal of 493081344000 is 443180394.

493081344000 is a `hidden beast` number, since 4 + 9 + 308 + 1 + 344 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6241535961 + ... + 6241536039.

It is an arithmetic number, because the mean of its divisors is an integer number (1133692560).

Almost surely, 2^493081344000 is an apocalyptic number.

493081344000 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 493081344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088344857600).

493081344000 is an abundant number, since it is smaller than the sum of its proper divisors (1683608371200).

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

493081344000 is an equidigital number, since it uses as much as digits as its factorization.

493081344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 493081344000 in words is "four hundred ninety-three billion, eighty-one million, three hundred forty-four thousand".