1382379724800 has 1008 divisors, whose sum is σ = 5295136716792. Its totient is φ = 343513497600.

The previous prime is 1382379724787. The next prime is 1382379724811. The reversal of 1382379724800 is 84279732831.

1382379724800 is a `hidden beast` number, since 1 + 3 + 8 + 23 + 79 + 72 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 191801954304 + 1190577770496 = 437952^2 + 1091136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4919500660 + ... + 4919500940.

Almost surely, 2^{1382379724800} is an apocalyptic number.

1382379724800 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 1382379724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647568358396).

1382379724800 is an abundant number, since it is smaller than the sum of its proper divisors (3912756991992).

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

1382379724800 is a wasteful number, since it uses less digits than its factorization.

1382379724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1382379724800 in words is "one trillion, three hundred eighty-two billion, three hundred seventy-nine million, seven hundred twenty-four thousand, eight hundred".