1320816449600 has 168 divisors, whose sum is σ = 3304849705248. Its totient is φ = 519476428800.

The previous prime is 1320816449549. The next prime is 1320816449633. The reversal of 1320816449600 is 69446180231.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 27997232 + ... + 28044368.

It is an arithmetic number, because the mean of its divisors is an integer number (19671724436).

Almost surely, 2^{1320816449600} is an apocalyptic number.

1320816449600 is a gapful number since it is divisible by the number (10) 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 1320816449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652424852624).

1320816449600 is an abundant number, since it is smaller than the sum of its proper divisors (1984033255648).

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

1320816449600 is a wasteful number, since it uses less digits than its factorization.

1320816449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47453 (or 47438 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 1320816449600 in words is "one trillion, three hundred twenty billion, eight hundred sixteen million, four hundred forty-nine thousand, six hundred".