1343323414400 has 576 divisors, whose sum is σ = 3775678809840. Its totient is φ = 471628185600.

The previous prime is 1343323414393. The next prime is 1343323414469. The reversal of 1343323414400 is 44143233431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1374946712 + ... + 1374947688.

Almost surely, 2^{1343323414400} is an apocalyptic number.

1343323414400 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 1343323414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887839404920).

1343323414400 is an abundant number, since it is smaller than the sum of its proper divisors (2432355395440).

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

1343323414400 is a wasteful number, since it uses less digits than its factorization.

1343323414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1115 counting only the distinct ones).

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

Adding to 1343323414400 its reverse (44143233431), we get a palindrome (1387466647831).

The spelling of 1343323414400 in words is "one trillion, three hundred forty-three billion, three hundred twenty-three million, four hundred fourteen thousand, four hundred".