1330331242240 has 576 divisors, whose sum is σ = 4416603512832. Its totient is φ = 370394726400.

The previous prime is 1330331242237. The next prime is 1330331242259. The reversal of 1330331242240 is 422421330331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1330331242199 and 1330331242208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39702934 + ... + 39736426.

It is an arithmetic number, because the mean of its divisors is an integer number (7667714432).

Almost surely, 2^{1330331242240} is an apocalyptic number.

1330331242240 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 1330331242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208301756416).

1330331242240 is an abundant number, since it is smaller than the sum of its proper divisors (3086272270592).

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

1330331242240 is a wasteful number, since it uses less digits than its factorization.

1330331242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33576 (or 33562 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1330331242240 its reverse (422421330331), we get a palindrome (1752752572571).

The spelling of 1330331242240 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, two hundred forty-two thousand, two hundred forty".