1330304244400 has 120 divisors (see below), whose sum is σ = 3203618799024. Its totient is φ = 530864256000.

The previous prime is 1330304244377. The next prime is 1330304244403. The reversal of 1330304244400 is 44424030331.

It is not an unprimeable number, because it can be changed into a prime (1330304244403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 402267547 + ... + 402270853.

Almost surely, 2^{1330304244400} is an apocalyptic number.

1330304244400 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 1330304244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601809399512).

1330304244400 is an abundant number, since it is smaller than the sum of its proper divisors (1873314554624).

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

1330304244400 is a wasteful number, since it uses less digits than its factorization.

1330304244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1330304244400 its reverse (44424030331), we get a palindrome (1374728274731).

The spelling of 1330304244400 in words is "one trillion, three hundred thirty billion, three hundred four million, two hundred forty-four thousand, four hundred".