1320354846720 has 2880 divisors, whose sum is σ = 6312773244960. Its totient is φ = 262193283072.

The previous prime is 1320354846697. The next prime is 1320354846721. The reversal of 1320354846720 is 276484530231.

1320354846720 is a `hidden beast` number, since 1 + 3 + 20 + 3 + 548 + 4 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320354846721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 77667932152 + ... + 77667932168.

Almost surely, 2^{1320354846720} is an apocalyptic number.

1320354846720 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 1320354846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156386622480).

1320354846720 is an abundant number, since it is smaller than the sum of its proper divisors (4992418398240).

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

1320354846720 is an frugal number, since it uses more digits than its factorization.

1320354846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1320354846720 in words is "one trillion, three hundred twenty billion, three hundred fifty-four million, eight hundred forty-six thousand, seven hundred twenty".