285340298041344 has 384 divisors, whose sum is σ = 943107214533120. Its totient is φ = 74705260511232.

The previous prime is 285340298041333. The next prime is 285340298041373. The reversal of 285340298041344 is 443140892043582.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74734647 + ... + 78459849.

It is an arithmetic number, because the mean of its divisors is an integer number (2456008371180).

Almost surely, 2^{285340298041344} is an apocalyptic number.

285340298041344 is a gapful number since it is divisible by the number (24) 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 285340298041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471553607266560).

285340298041344 is an abundant number, since it is smaller than the sum of its proper divisors (657766916491776).

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

285340298041344 is a wasteful number, since it uses less digits than its factorization.

285340298041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725385 (or 3725365 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 285340298041344 in words is "two hundred eighty-five trillion, three hundred forty billion, two hundred ninety-eight million, forty-one thousand, three hundred forty-four".