1323261354240 has 648 divisors, whose sum is σ = 5349220852248. Its totient is φ = 301131694080.

The previous prime is 1323261354221. The next prime is 1323261354241. The reversal of 1323261354240 is 424531623231.

1323261354240 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 61 + 354 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51743510784 + 1271517843456 = 227472^2 + 1127616^2 .

It is a super-2 number, since 2×1323261354240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1323261354195 and 1323261354204.

It is not an unprimeable number, because it can be changed into a prime (1323261354241) 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 71 ways as a sum of consecutive naturals, for example, 131518810 + ... + 131528870.

It is an arithmetic number, because the mean of its divisors is an integer number (8254970451).

Almost surely, 2^{1323261354240} is an apocalyptic number.

1323261354240 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 1323261354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674610426124).

1323261354240 is an abundant number, since it is smaller than the sum of its proper divisors (4025959498008).

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

1323261354240 is a wasteful number, since it uses less digits than its factorization.

1323261354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1323261354240 its reverse (424531623231), we get a palindrome (1747792977471).

The spelling of 1323261354240 in words is "one trillion, three hundred twenty-three billion, two hundred sixty-one million, three hundred fifty-four thousand, two hundred forty".