1322416385280 has 144 divisors (see below), whose sum is σ = 4692741600960. Its totient is φ = 352644360192.

The previous prime is 1322416385249. The next prime is 1322416385281. The reversal of 1322416385280 is 825836142231.

1322416385280 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 1 + 638 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (1322416385281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19097622 + ... + 19166741.

It is an arithmetic number, because the mean of its divisors is an integer number (32588483340).

Almost surely, 2^{1322416385280} is an apocalyptic number.

1322416385280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322416385280 is an abundant number, since it is smaller than the sum of its proper divisors (3370325215680).

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

1322416385280 is an equidigital number, since it uses as much as digits as its factorization.

1322416385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38264393 (or 38264373 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1322416385280 in words is "one trillion, three hundred twenty-two billion, four hundred sixteen million, three hundred eighty-five thousand, two hundred eighty".