396953812800 has 504 divisors, whose sum is σ = 1439870978520. Its totient is φ = 103700889600.

The previous prime is 396953812789. The next prime is 396953812823. The reversal of 396953812800 is 8218359693.

396953812800 is a `hidden beast` number, since 3 + 96 + 9 + 538 + 12 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 325228402944 + 71725409856 = 570288^2 + 267816^2 .

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 71 ways as a sum of consecutive naturals, for example, 144819430 + ... + 144822170.

Almost surely, 2^396953812800 is an apocalyptic number.

396953812800 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 396953812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719935489260).

396953812800 is an abundant number, since it is smaller than the sum of its proper divisors (1042917165720).

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

396953812800 is a wasteful number, since it uses less digits than its factorization.

396953812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 396953812800 in words is "three hundred ninety-six billion, nine hundred fifty-three million, eight hundred twelve thousand, eight hundred".