1322315040 has 96 divisors (see below), whose sum is σ = 4171124160. Its totient is φ = 352123904.

The previous prime is 1322315017. The next prime is 1322315047. The reversal of 1322315040 is 405132231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1322314998 and 1322315016.

It is not an unprimeable number, because it can be changed into a prime (1322315047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453106 + ... + 456014.

It is an arithmetic number, because the mean of its divisors is an integer number (43449210).

Almost surely, 2^1322315040 is an apocalyptic number.

1322315040 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 1322315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085562080).

1322315040 is an abundant number, since it is smaller than the sum of its proper divisors (2848809120).

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

1322315040 is a wasteful number, since it uses less digits than its factorization.

1322315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1322315040 is about 36363.6499818156. The cubic root of 1322315040 is about 1097.6022261796.

Adding to 1322315040 its reverse (405132231), we get a palindrome (1727447271).

The spelling of 1322315040 in words is "one billion, three hundred twenty-two million, three hundred fifteen thousand, forty".