493166400000 has 480 divisors, whose sum is σ = 1657153935360. Its totient is φ = 130314240000.

The previous prime is 493166399951. The next prime is 493166400007. The reversal of 493166400000 is 4661394.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (493166400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609599596 + ... + 609600404.

It is an arithmetic number, because the mean of its divisors is an integer number (3452404032).

Almost surely, 2^493166400000 is an apocalyptic number.

493166400000 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 493166400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828576967680).

493166400000 is an abundant number, since it is smaller than the sum of its proper divisors (1163987535360).

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

493166400000 is an frugal number, since it uses more digits than its factorization.

493166400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 493166400000 in words is "four hundred ninety-three billion, one hundred sixty-six million, four hundred thousand".