396443432064000 has 352 divisors, whose sum is σ = 1319601170160000. Its totient is φ = 105647569305600.

The previous prime is 396443432063909. The next prime is 396443432064011. The reversal of 396443432064000 is 460234344693.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 575271636 + ... + 575960364.

Almost surely, 2^{396443432064000} is an apocalyptic number.

396443432064000 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 396443432064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659800585080000).

396443432064000 is an abundant number, since it is smaller than the sum of its proper divisors (923157738096000).

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

396443432064000 is a wasteful number, since it uses less digits than its factorization.

396443432064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690266 (or 690238 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 396443432064000 in words is "three hundred ninety-six trillion, four hundred forty-three billion, four hundred thirty-two million, sixty-four thousand".