1320032344400 has 300 divisors, whose sum is σ = 4036091045664. Its totient is φ = 411435360000.

The previous prime is 1320032344391. The next prime is 1320032344459. The reversal of 1320032344400 is 44432300231.

It is a super-2 number, since 2×1320032344400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320032344400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10501925 + ... + 10626875.

Almost surely, 2^{1320032344400} is an apocalyptic number.

1320032344400 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 1320032344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018045522832).

1320032344400 is an abundant number, since it is smaller than the sum of its proper divisors (2716058701264).

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

1320032344400 is a wasteful number, since it uses less digits than its factorization.

1320032344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125008 (or 124976 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 1320032344400 its reverse (44432300231), we get a palindrome (1364464644631).

The spelling of 1320032344400 in words is "one trillion, three hundred twenty billion, thirty-two million, three hundred forty-four thousand, four hundred".