1322141440 has 72 divisors (see below), whose sum is σ = 3173310000. Its totient is φ = 527794176.

The previous prime is 1322141437. The next prime is 1322141441. The reversal of 1322141440 is 441412231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057936 + ... + 1059184.

It is an arithmetic number, because the mean of its divisors is an integer number (44073750).

Almost surely, 2^1322141440 is an apocalyptic number.

1322141440 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 1322141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586655000).

1322141440 is an abundant number, since it is smaller than the sum of its proper divisors (1851168560).

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

1322141440 is an equidigital number, since it uses as much as digits as its factorization.

1322141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1322141440 is about 36361.2629043602. The cubic root of 1322141440 is about 1097.5541912107.

Adding to 1322141440 its reverse (441412231), we get a palindrome (1763553671).

The spelling of 1322141440 in words is "one billion, three hundred twenty-two million, one hundred forty-one thousand, four hundred forty".