1384304256000 has 1760 divisors, whose sum is σ = 5489853557760. Its totient is φ = 346374144000.

The previous prime is 1384304255951. The next prime is 1384304256029. The reversal of 1384304256000 is 6524034831.

1384304256000 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 3 + 0 + 42 + 5 + 600 + 0 = 666.

It is a super-4 number, since 4×1384304256000⁴ (a number of 50 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18963071964 + ... + 18963072036.

It is an arithmetic number, because the mean of its divisors is an integer number (3119234976).

Almost surely, 2^{1384304256000} is an apocalyptic number.

1384304256000 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 1384304256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744926778880).

1384304256000 is an abundant number, since it is smaller than the sum of its proper divisors (4105549301760).

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

1384304256000 is an equidigital number, since it uses as much as digits as its factorization.

1384304256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1384304256000 in words is "one trillion, three hundred eighty-four billion, three hundred four million, two hundred fifty-six thousand".