1413323324240 has 80 divisors (see below), whose sum is σ = 3320121779856. Its totient is φ = 559460352000.

The previous prime is 1413323324201. The next prime is 1413323324243. The reversal of 1413323324240 is 424233233141.

It can be written as a sum of positive squares in 8 ways, for example, as 192050791696 + 1221272532544 = 438236^2 + 1105112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1413323324197 and 1413323324206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413323324243) 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, 17031650 + ... + 17114430.

Almost surely, 2^{1413323324240} is an apocalyptic number.

1413323324240 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 1413323324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660060889928).

1413323324240 is an abundant number, since it is smaller than the sum of its proper divisors (1906798455616).

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

1413323324240 is a wasteful number, since it uses less digits than its factorization.

1413323324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85008 (or 85002 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1413323324240 its reverse (424233233141), we get a palindrome (1837556557381).

The spelling of 1413323324240 in words is "one trillion, four hundred thirteen billion, three hundred twenty-three million, three hundred twenty-four thousand, two hundred forty".