1320114257280 has 3584 divisors, whose sum is σ = 6472966348800. Its totient is φ = 249389383680.

The previous prime is 1320114257279. The next prime is 1320114257303. The reversal of 1320114257280 is 827524110231.

1320114257280 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 1 + 4 + 2 + 572 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 22374817891 + ... + 22374817949.

It is an arithmetic number, because the mean of its divisors is an integer number (1806073200).

Almost surely, 2^{1320114257280} is an apocalyptic number.

1320114257280 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 1320114257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236483174400).

1320114257280 is an abundant number, since it is smaller than the sum of its proper divisors (5152852091520).

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

1320114257280 is a wasteful number, since it uses less digits than its factorization.

1320114257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1320114257280 in words is "one trillion, three hundred twenty billion, one hundred fourteen million, two hundred fifty-seven thousand, two hundred eighty".