394401705984 has 1248 divisors, whose sum is σ = 1478645086464. Its totient is φ = 103195607040.

The previous prime is 394401705961. The next prime is 394401706033. The reversal of 394401705984 is 489507104493.

394401705984 is a `hidden beast` number, since 3 + 9 + 4 + 40 + 1 + 7 + 0 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 394401705984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2419642287 + ... + 2419642449.

It is an arithmetic number, because the mean of its divisors is an integer number (1184811768).

Almost surely, 2^394401705984 is an apocalyptic number.

394401705984 is a gapful number since it is divisible by the number (34) 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 394401705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739322543232).

394401705984 is an abundant number, since it is smaller than the sum of its proper divisors (1084243380480).

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

394401705984 is a wasteful number, since it uses less digits than its factorization.

394401705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 394401705984 in words is "three hundred ninety-four billion, four hundred one million, seven hundred five thousand, nine hundred eighty-four".