394781860800000 has 2880 divisors, whose sum is σ = 1571774704980480. Its totient is φ = 97800929280000.

The previous prime is 394781860799987. The next prime is 394781860800127. The reversal of 394781860800000 is 8068187493.

394781860800000 is a `hidden beast` number, since 39 + 478 + 1 + 8 + 60 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 394781860800000.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1285934399847 + ... + 1285934400153.

It is an arithmetic number, because the mean of its divisors is an integer number (545755105896).

Almost surely, 2^{394781860800000} is an apocalyptic number.

394781860800000 is a gapful number since it is divisible by the number (30) 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 394781860800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785887352490240).

394781860800000 is an abundant number, since it is smaller than the sum of its proper divisors (1176992844180480).

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

394781860800000 is an equidigital number, since it uses as much as digits as its factorization.

394781860800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 394781860800000 in words is "three hundred ninety-four trillion, seven hundred eighty-one billion, eight hundred sixty million, eight hundred thousand".