4109855446368 has 336 divisors, whose sum is σ = 13965695926560. Its totient is φ = 1165666940928.

The previous prime is 4109855446351. The next prime is 4109855446423. The reversal of 4109855446368 is 8636445589014.

4109855446368 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 8 + 554 + 46 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22279698 + ... + 22463406.

It is an arithmetic number, because the mean of its divisors is an integer number (41564571210).

Almost surely, 2^{4109855446368} is an apocalyptic number.

4109855446368 is a gapful number since it is divisible by the number (48) 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 4109855446368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982847963280).

4109855446368 is an abundant number, since it is smaller than the sum of its proper divisors (9855840480192).

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

4109855446368 is a wasteful number, since it uses less digits than its factorization.

4109855446368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183881 (or 183858 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 4109855446368 in words is "four trillion, one hundred nine billion, eight hundred fifty-five million, four hundred forty-six thousand, three hundred sixty-eight".