394303066560 has 1008 divisors, whose sum is σ = 1561940223840. Its totient is φ = 93594009600.

The previous prime is 394303066559. The next prime is 394303066621. The reversal of 394303066560 is 65660303493.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1403213620 + ... + 1403213900.

Almost surely, 2^394303066560 is an apocalyptic number.

394303066560 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 394303066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780970111920).

394303066560 is an abundant number, since it is smaller than the sum of its proper divisors (1167637157280).

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

394303066560 is a wasteful number, since it uses less digits than its factorization.

394303066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 394303066560 in words is "three hundred ninety-four billion, three hundred three million, sixty-six thousand, five hundred sixty".