1330400312320 has 176 divisors, whose sum is σ = 3363160212288. Its totient is φ = 503978393600.

The previous prime is 1330400312279. The next prime is 1330400312323. The reversal of 1330400312320 is 232130040331.

It is a junction number, because it is equal to n+sod(n) for n = 1330400312291 and 1330400312300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330400312323) 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, 11837832 + ... + 11949688.

Almost surely, 2^{1330400312320} is an apocalyptic number.

1330400312320 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 1330400312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681580106144).

1330400312320 is an abundant number, since it is smaller than the sum of its proper divisors (2032759899968).

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

1330400312320 is a wasteful number, since it uses less digits than its factorization.

1330400312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112006 (or 111988 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1330400312320 its reverse (232130040331), we get a palindrome (1562530352651).

The spelling of 1330400312320 in words is "one trillion, three hundred thirty billion, four hundred million, three hundred twelve thousand, three hundred twenty".