394991775360000 has 4125 divisors, whose sum is σ = 1801190648359531. Its totient is φ = 83338924032000.

The previous prime is 394991775359989. The next prime is 394991775360001. The reversal of 394991775360000 is 63577199493.

The square root of 394991775360000 is 19874400.

It is a perfect power (a square), and thus also a powerful number.

394991775360000 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 9 + 17 + 7 + 5 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 92719335711744 + 302272439648256 = 9629088^2 + 17385984^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 394991775360000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 118300 × 114660 × 29120.

It is not an unprimeable number, because it can be changed into a prime (394991775360001) by changing a digit.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 30383982719994 + ... + 30383982720006.

Almost surely, 2^{394991775360000} is an apocalyptic number.

394991775360000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

394991775360000 is the 19874400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394991775360000

394991775360000 is an abundant number, since it is smaller than the sum of its proper divisors (1406198872999531).

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

394991775360000 is an frugal number, since it uses more digits than its factorization.

394991775360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 394991775360000 in words is "three hundred ninety-four trillion, nine hundred ninety-one billion, seven hundred seventy-five million, three hundred sixty thousand".