817440940800 has 1728 divisors, whose sum is σ = 3432605299200. Its totient is φ = 188581478400.

The previous prime is 817440940769. The next prime is 817440940829. The reversal of 817440940800 is 8049044718.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4149446302 + ... + 4149446498.

It is an arithmetic number, because the mean of its divisors is an integer number (1986461400).

Almost surely, 2^817440940800 is an apocalyptic number.

817440940800 is a gapful number since it is divisible by the number (80) 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 817440940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716302649600).

817440940800 is an abundant number, since it is smaller than the sum of its proper divisors (2615164358400).

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

817440940800 is a wasteful number, since it uses less digits than its factorization.

817440940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 817440940800 in words is "eight hundred seventeen billion, four hundred forty million, nine hundred forty thousand, eight hundred".