396208548126720 has 3360 divisors, whose sum is σ = 1710631967299200. Its totient is φ = 87406679162880.

The previous prime is 396208548126709. The next prime is 396208548126749. The reversal of 396208548126720 is 27621845802693.

396208548126720 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 0 + 8 + 548 + 1 + 2 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 1197004676955 + ... + 1197004677285.

It is a 1-persistent number, because it is pandigital, but 2⋅396208548126720 = 792417096253440 is not.

Almost surely, 2^{396208548126720} is an apocalyptic number.

396208548126720 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 396208548126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855315983649600).

396208548126720 is an abundant number, since it is smaller than the sum of its proper divisors (1314423419172480).

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

396208548126720 is a wasteful number, since it uses less digits than its factorization.

396208548126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 396208548126720 in words is "three hundred ninety-six trillion, two hundred eight billion, five hundred forty-eight million, one hundred twenty-six thousand, seven hundred twenty".