1361322144 has 288 divisors, whose sum is σ = 4813885440. Its totient is φ = 355332096.

The previous prime is 1361322143. The next prime is 1361322161. The reversal of 1361322144 is 4412231631.

It is a happy number.

1361322144 is a `hidden beast` number, since 1 + 3 + 613 + 2 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1361322143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328212 + ... + 3328620.

It is an arithmetic number, because the mean of its divisors is an integer number (16714880).

Almost surely, 2^1361322144 is an apocalyptic number.

1361322144 is a gapful number since it is divisible by the number (14) 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 1361322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406942720).

1361322144 is an abundant number, since it is smaller than the sum of its proper divisors (3452563296).

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

1361322144 is a wasteful number, since it uses less digits than its factorization.

1361322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1361322144 is about 36896.0993060242. The cubic root of 1361322144 is about 1108.2905657507.

Adding to 1361322144 its reverse (4412231631), we get a palindrome (5773553775).

The spelling of 1361322144 in words is "one billion, three hundred sixty-one million, three hundred twenty-two thousand, one hundred forty-four".