1322335140 has 384 divisors, whose sum is σ = 4726149120. Its totient is φ = 269402112.

The previous prime is 1322335103. The next prime is 1322335141. The reversal of 1322335140 is 415332231.

1322335140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1322335140.

It is not an unprimeable number, because it can be changed into a prime (1322335141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18114144 + ... + 18114216.

It is an arithmetic number, because the mean of its divisors is an integer number (12307680).

Almost surely, 2^1322335140 is an apocalyptic number.

1322335140 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 1322335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363074560).

1322335140 is an abundant number, since it is smaller than the sum of its proper divisors (3403813980).

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

1322335140 is a wasteful number, since it uses less digits than its factorization.

1322335140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1322335140 is about 36363.9263556619. The cubic root of 1322335140 is about 1097.6077875605.

Adding to 1322335140 its reverse (415332231), we get a palindrome (1737667371).

The spelling of 1322335140 in words is "one billion, three hundred twenty-two million, three hundred thirty-five thousand, one hundred forty".