396068199120 has 1280 divisors, whose sum is σ = 1663710658560. Its totient is φ = 85465497600.

The previous prime is 396068199083. The next prime is 396068199187. The reversal of 396068199120 is 21991860693.

396068199120 is a `hidden beast` number, since 3 + 9 + 606 + 8 + 1 + 9 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 588511104 + ... + 588511776.

It is an arithmetic number, because the mean of its divisors is an integer number (1299773952).

Almost surely, 2^396068199120 is an apocalyptic number.

396068199120 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 396068199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831855329280).

396068199120 is an abundant number, since it is smaller than the sum of its proper divisors (1267642459440).

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

396068199120 is a wasteful number, since it uses less digits than its factorization.

396068199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 396068199120 in words is "three hundred ninety-six billion, sixty-eight million, one hundred ninety-nine thousand, one hundred twenty".