493977441619200 has 6912 divisors, whose sum is σ = 2308287460147200. Its totient is φ = 90673938432000.

The previous prime is 493977441619121. The next prime is 493977441619213. The reversal of 493977441619200 is 2916144779394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5550308332756 + ... + 5550308332844.

It is an arithmetic number, because the mean of its divisors is an integer number (333953625600).

Almost surely, 2^{493977441619200} is an apocalyptic number.

493977441619200 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 493977441619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154143730073600).

493977441619200 is an abundant number, since it is smaller than the sum of its proper divisors (1814310018528000).

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

493977441619200 is a wasteful number, since it uses less digits than its factorization.

493977441619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 493977441619200 in words is "four hundred ninety-three trillion, nine hundred seventy-seven billion, four hundred forty-one million, six hundred nineteen thousand, two hundred".