1322315041104 has 160 divisors (see below), whose sum is σ = 4025876256000. Its totient is φ = 414113550336.

The previous prime is 1322315041079. The next prime is 1322315041111. The reversal of 1322315041104 is 4011405132231.

1322315041104 is a `hidden beast` number, since 1 + 3 + 22 + 31 + 504 + 1 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 4020517 + ... + 4336955.

It is an arithmetic number, because the mean of its divisors is an integer number (25161726600).

Almost surely, 2^{1322315041104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322315041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012938128000).

1322315041104 is an abundant number, since it is smaller than the sum of its proper divisors (2703561214896).

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

1322315041104 is a wasteful number, since it uses less digits than its factorization.

1322315041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317042 (or 317030 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1322315041104 in words is "one trillion, three hundred twenty-two billion, three hundred fifteen million, forty-one thousand, one hundred four".