1324340640000 has 1215 divisors, whose sum is σ = 5591299630917. Its totient is φ = 300496896000.

The previous prime is 1324340639987. The next prime is 1324340640011. The reversal of 1324340640000 is 460434231.

The square root of 1324340640000 is 1150800.

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

1324340640000 is a `hidden beast` number, since 13 + 2 + 4 + 3 + 4 + 0 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 915068254464 + 409272385536 = 956592^2 + 639744^2 .

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 134 ways as a sum of consecutive naturals, for example, 9666719932 + ... + 9666720068.

Almost surely, 2^{1324340640000} is an apocalyptic number.

1324340640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1324340640000 is the 1150800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324340640000

1324340640000 is an abundant number, since it is smaller than the sum of its proper divisors (4266958990917).

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

1324340640000 is an frugal number, since it uses more digits than its factorization.

1324340640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 1324340640000 in words is "one trillion, three hundred twenty-four billion, three hundred forty million, six hundred forty thousand".