1322333440000 has 480 divisors, whose sum is σ = 3554448337440. Its totient is φ = 489848832000.

The previous prime is 1322333439929. The next prime is 1322333440013. The reversal of 1322333440000 is 443332231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1457919547 + ... + 1457920453.

It is an arithmetic number, because the mean of its divisors is an integer number (7405100703).

Almost surely, 2^{1322333440000} is an apocalyptic number.

1322333440000 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 1322333440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777224168720).

1322333440000 is an abundant number, since it is smaller than the sum of its proper divisors (2232114897440).

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

1322333440000 is an frugal number, since it uses more digits than its factorization.

1322333440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 1322333440000 its reverse (443332231), we get a palindrome (1322776772231).

The spelling of 1322333440000 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-three million, four hundred forty thousand".