1320714218880 has 1024 divisors, whose sum is σ = 5647210905600. Its totient is φ = 285310771200.

The previous prime is 1320714218833. The next prime is 1320714218897. The reversal of 1320714218880 is 888124170231.

1320714218880 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 71 + 421 + 88 + 80 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 161235585 + ... + 161243775.

It is an arithmetic number, because the mean of its divisors is an integer number (5514854400).

Almost surely, 2^{1320714218880} is an apocalyptic number.

1320714218880 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 1320714218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823605452800).

1320714218880 is an abundant number, since it is smaller than the sum of its proper divisors (4326496686720).

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

1320714218880 is a wasteful number, since it uses less digits than its factorization.

1320714218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1320714218880 in words is "one trillion, three hundred twenty billion, seven hundred fourteen million, two hundred eighteen thousand, eight hundred eighty".