1343306448000 has 768 divisors, whose sum is σ = 5444367177600. Its totient is φ = 314409984000.

The previous prime is 1343306447993. The next prime is 1343306448047. The reversal of 1343306448000 is 8446033431.

It is a happy number.

1343306448000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 0 + 644 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45921379 + ... + 45950621.

Almost surely, 2^{1343306448000} is an apocalyptic number.

1343306448000 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 1343306448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722183588800).

1343306448000 is an abundant number, since it is smaller than the sum of its proper divisors (4101060729600).

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

1343306448000 is a wasteful number, since it uses less digits than its factorization.

1343306448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29318 (or 29293 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1343306448000 in words is "one trillion, three hundred forty-three billion, three hundred six million, four hundred forty-eight thousand".