396659332800000 has 1200 divisors, whose sum is σ = 1482071178717360. Its totient is φ = 105614254080000.

The previous prime is 396659332799971. The next prime is 396659332800007. The reversal of 396659332800000 is 8233956693.

396659332800000 is a `hidden beast` number, since 396 + 65 + 93 + 32 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 396659332800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396659332800007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 101995198056 + ... + 101995201944.

Almost surely, 2^{396659332800000} is an apocalyptic number.

396659332800000 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 396659332800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741035589358680).

396659332800000 is an abundant number, since it is smaller than the sum of its proper divisors (1085411845917360).

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

396659332800000 is an frugal number, since it uses more digits than its factorization.

396659332800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 396659332800000 in words is "three hundred ninety-six trillion, six hundred fifty-nine billion, three hundred thirty-two million, eight hundred thousand".