4320055440000 has 480 divisors, whose sum is σ = 15827528960100. Its totient is φ = 1130268672000.

The previous prime is 4320055439981. The next prime is 4320055440017. The reversal of 4320055440000 is 445500234.

4320055440000 is a `hidden beast` number, since 4 + 3 + 200 + 5 + 54 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9585216 + 4320045854784 = 3096^2 + 2078472^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38103396 + ... + 38216604.

Almost surely, 2^{4320055440000} is an apocalyptic number.

4320055440000 is a gapful number since it is divisible by the number (40) 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 4320055440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913764480050).

4320055440000 is an abundant number, since it is smaller than the sum of its proper divisors (11507473520100).

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

4320055440000 is a wasteful number, since it uses less digits than its factorization.

4320055440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113302 (or 113272 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 4320055440000 in words is "four trillion, three hundred twenty billion, fifty-five million, four hundred forty thousand".