1344672160000 has 405 divisors, whose sum is σ = 3648250068309. Its totient is φ = 494267904000.

The previous prime is 1344672159989. The next prime is 1344672160009. The reversal of 1344672160000 is 612764431.

The square root of 1344672160000 is 1159600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1328173271296 + 16498888704 = 1152464^2 + 128448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344672160009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6029919889 + ... + 6029920111.

Almost surely, 2^{1344672160000} is an apocalyptic number.

1344672160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1344672160000 is the 1159600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344672160000

1344672160000 is an abundant number, since it is smaller than the sum of its proper divisors (2303577908309).

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

1344672160000 is an frugal number, since it uses more digits than its factorization.

1344672160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 1344672160000 in words is "one trillion, three hundred forty-four billion, six hundred seventy-two million, one hundred sixty thousand".