493404031411200 has 10560 divisors, whose sum is σ = 2520053931225600. Its totient is φ = 94389581905920.

The previous prime is 493404031411121. The next prime is 493404031411201. The reversal of 493404031411200 is 2114130404394.

493404031411200 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 0 + 4 + 0 + 31 + 411 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493404031411201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 6758959334364 + ... + 6758959334436.

It is an arithmetic number, because the mean of its divisors is an integer number (238641470760).

Almost surely, 2^{493404031411200} is an apocalyptic number.

493404031411200 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 493404031411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260026965612800).

493404031411200 is an abundant number, since it is smaller than the sum of its proper divisors (2026649899814400).

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

493404031411200 is a wasteful number, since it uses less digits than its factorization.

493404031411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 163 counting only the distinct ones).

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

Adding to 493404031411200 its reverse (2114130404394), we get a palindrome (495518161815594).

The spelling of 493404031411200 in words is "four hundred ninety-three trillion, four hundred four billion, thirty-one million, four hundred eleven thousand, two hundred".