1322161775440 has 160 divisors (see below), whose sum is σ = 3476218757760. Its totient is φ = 463257446400.

The previous prime is 1322161775413. The next prime is 1322161775447. The reversal of 1322161775440 is 445771612231.

It is a super-2 number, since 2×1322161775440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322161775447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12477562 + ... + 12583078.

It is an arithmetic number, because the mean of its divisors is an integer number (21726367236).

Almost surely, 2^{1322161775440} is an apocalyptic number.

1322161775440 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 1322161775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738109378880).

1322161775440 is an abundant number, since it is smaller than the sum of its proper divisors (2154056982320).

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

1322161775440 is a wasteful number, since it uses less digits than its factorization.

1322161775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106061 (or 106055 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 1322161775440 in words is "one trillion, three hundred twenty-two billion, one hundred sixty-one million, seven hundred seventy-five thousand, four hundred forty".