4055884185600 has 720 divisors, whose sum is σ = 16047976405440. Its totient is φ = 998336102400.

The previous prime is 4055884185569. The next prime is 4055884185641. The reversal of 4055884185600 is 65814885504.

4055884185600 is a `hidden beast` number, since 4 + 0 + 5 + 588 + 4 + 1 + 8 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 143755495 + ... + 143783705.

Almost surely, 2^{4055884185600} is an apocalyptic number.

4055884185600 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 4055884185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023988202720).

4055884185600 is an abundant number, since it is smaller than the sum of its proper divisors (11992092219840).

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

4055884185600 is a wasteful number, since it uses less digits than its factorization.

4055884185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28271 (or 28234 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 4055884185600 in words is "four trillion, fifty-five billion, eight hundred eighty-four million, one hundred eighty-five thousand, six hundred".