1320309381456 has 240 divisors, whose sum is σ = 4019667724800. Its totient is φ = 402145164288.

The previous prime is 1320309381401. The next prime is 1320309381557. The reversal of 1320309381456 is 6541839030231.

1320309381456 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 30 + 93 + 81 + 456 = 666.

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 47 ways as a sum of consecutive naturals, for example, 74715790 + ... + 74733458.

It is an arithmetic number, because the mean of its divisors is an integer number (16748615520).

Almost surely, 2^{1320309381456} is an apocalyptic number.

1320309381456 is a gapful number since it is divisible by the number (16) 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 1320309381456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009833862400).

1320309381456 is an abundant number, since it is smaller than the sum of its proper divisors (2699358343344).

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

1320309381456 is a wasteful number, since it uses less digits than its factorization.

1320309381456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098 (or 18089 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1320309381456 in words is "one trillion, three hundred twenty billion, three hundred nine million, three hundred eighty-one thousand, four hundred fifty-six".