396861566400 has 1008 divisors, whose sum is σ = 1610653786560. Its totient is φ = 91968307200.

The previous prime is 396861566369. The next prime is 396861566401. The reversal of 396861566400 is 4665168693.

396861566400 is a `hidden beast` number, since 3 + 9 + 6 + 86 + 156 + 6 + 400 = 666.

396861566400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396861566401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222579909 + ... + 222581691.

It is an arithmetic number, because the mean of its divisors is an integer number (1597870820).

Almost surely, 2^396861566400 is an apocalyptic number.

396861566400 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 396861566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805326893280).

396861566400 is an abundant number, since it is smaller than the sum of its proper divisors (1213792220160).

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

396861566400 is a wasteful number, since it uses less digits than its factorization.

396861566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 396861566400 in words is "three hundred ninety-six billion, eight hundred sixty-one million, five hundred sixty-six thousand, four hundred".