394813404610560 has 3648 divisors, whose sum is σ = 1679302166169600. Its totient is φ = 87204110008320.

The previous prime is 394813404610507. The next prime is 394813404610589. The reversal of 394813404610560 is 65016404318493.

It is a happy number.

394813404610560 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 1 + 34 + 0 + 46 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3648).

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

It is a junction number, because it is equal to n+sod(n) for n = 394813404610497 and 394813404610506.

It is a congruent number.

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, 8400285204457 + ... + 8400285204503.

Almost surely, 2^{394813404610560} is an apocalyptic number.

394813404610560 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 394813404610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839651083084800).

394813404610560 is an abundant number, since it is smaller than the sum of its proper divisors (1284488761559040).

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

394813404610560 is an equidigital number, since it uses as much as digits as its factorization.

394813404610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 394813404610560 in words is "three hundred ninety-four trillion, eight hundred thirteen billion, four hundred four million, six hundred ten thousand, five hundred sixty".