1384723468800 has 960 divisors, whose sum is σ = 5855731875840. Its totient is φ = 313946357760.

The previous prime is 1384723468789. The next prime is 1384723468813. The reversal of 1384723468800 is 88643274831.

1384723468800 is a `hidden beast` number, since 1 + 3 + 8 + 472 + 34 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 307236147 + ... + 307240653.

It is an arithmetic number, because the mean of its divisors is an integer number (6099720704).

Almost surely, 2^{1384723468800} is an apocalyptic number.

1384723468800 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 1384723468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927865937920).

1384723468800 is an abundant number, since it is smaller than the sum of its proper divisors (4471008407040).

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

1384723468800 is a wasteful number, since it uses less digits than its factorization.

1384723468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1384723468800 in words is "one trillion, three hundred eighty-four billion, seven hundred twenty-three million, four hundred sixty-eight thousand, eight hundred".