396168192000 has 1792 divisors, whose sum is σ = 1766533017600. Its totient is φ = 85642444800.

The previous prime is 396168191999. The next prime is 396168192103. The reversal of 396168192000 is 291861693.

It is a happy number.

396168192000 is a `hidden beast` number, since 3 + 9 + 616 + 8 + 1 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4451327956 + ... + 4451328044.

Almost surely, 2^396168192000 is an apocalyptic number.

396168192000 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 396168192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883266508800).

396168192000 is an abundant number, since it is smaller than the sum of its proper divisors (1370364825600).

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

396168192000 is an equidigital number, since it uses as much as digits as its factorization.

396168192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 396168192000 in words is "three hundred ninety-six billion, one hundred sixty-eight million, one hundred ninety-two thousand".