1322104405440 has 1344 divisors, whose sum is σ = 5434973558784. Its totient is φ = 269736542208.

The previous prime is 1322104405411. The next prime is 1322104405471. The reversal of 1322104405440 is 445044012231.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1322104405398 and 1322104405407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3602464137 + ... + 3602464503.

It is an arithmetic number, because the mean of its divisors is an integer number (4043879136).

Almost surely, 2^{1322104405440} is an apocalyptic number.

1322104405440 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 1322104405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717486779392).

1322104405440 is an abundant number, since it is smaller than the sum of its proper divisors (4112869153344).

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

1322104405440 is a wasteful number, since it uses less digits than its factorization.

1322104405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1322104405440 its reverse (445044012231), we get a palindrome (1767148417671).

The spelling of 1322104405440 in words is "one trillion, three hundred twenty-two billion, one hundred four million, four hundred five thousand, four hundred forty".