396107329945600 has 1440 divisors, whose sum is σ = 1272097355558400. Its totient is φ = 118967972659200.

The previous prime is 396107329945531. The next prime is 396107329945697. The reversal of 396107329945600 is 6549923701693.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 95 ways as a sum of consecutive naturals, for example, 63775126495 + ... + 63775132705.

It is an arithmetic number, because the mean of its divisors is an integer number (883400941360).

Almost surely, 2^{396107329945600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396107329945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636048677779200).

396107329945600 is an abundant number, since it is smaller than the sum of its proper divisors (875990025612800).

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

396107329945600 is a wasteful number, since it uses less digits than its factorization.

396107329945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 64.

The spelling of 396107329945600 in words is "three hundred ninety-six trillion, one hundred seven billion, three hundred twenty-nine million, nine hundred forty-five thousand, six hundred".