1321010470080 has 1344 divisors, whose sum is σ = 5636472791040. Its totient is φ = 277141782528.

The previous prime is 1321010470027. The next prime is 1321010470147. The reversal of 1321010470080 is 800740101231.

1321010470080 is a `hidden beast` number, since 13 + 2 + 101 + 0 + 470 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2626263109 + ... + 2626263611.

It is an arithmetic number, because the mean of its divisors is an integer number (4193804160).

Almost surely, 2^{1321010470080} is an apocalyptic number.

1321010470080 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 1321010470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818236395520).

1321010470080 is an abundant number, since it is smaller than the sum of its proper divisors (4315462320960).

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

1321010470080 is a wasteful number, since it uses less digits than its factorization.

1321010470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1321010470080 in words is "one trillion, three hundred twenty-one billion, ten million, four hundred seventy thousand, eighty".