394949721600 has 2160 divisors, whose sum is σ = 1771661713536. Its totient is φ = 83607552000.

The previous prime is 394949721587. The next prime is 394949721611. The reversal of 394949721600 is 6127949493.

394949721600 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 4 + 9 + 7 + 21 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6474585570 + ... + 6474585630.

Almost surely, 2^394949721600 is an apocalyptic number.

394949721600 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 394949721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885830856768).

394949721600 is an abundant number, since it is smaller than the sum of its proper divisors (1376711991936).

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

394949721600 is a wasteful number, since it uses less digits than its factorization.

394949721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 394949721600 in words is "three hundred ninety-four billion, nine hundred forty-nine million, seven hundred twenty-one thousand, six hundred".