1383330009600 has 1920 divisors, whose sum is σ = 6386034124800. Its totient is φ = 284929228800.

The previous prime is 1383330009583. The next prime is 1383330009613. The reversal of 1383330009600 is 69000333831.

1383330009600 is a `hidden beast` number, since 13 + 8 + 3 + 3 + 30 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6040742286 + ... + 6040742514.

It is an arithmetic number, because the mean of its divisors is an integer number (3326059440).

Almost surely, 2^{1383330009600} is an apocalyptic number.

1383330009600 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 1383330009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193017062400).

1383330009600 is an abundant number, since it is smaller than the sum of its proper divisors (5002704115200).

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

1383330009600 is a wasteful number, since it uses less digits than its factorization.

1383330009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 1383330009600 in words is "one trillion, three hundred eighty-three billion, three hundred thirty million, nine thousand, six hundred".