4081348144800 has 288 divisors, whose sum is σ = 14763236342400. Its totient is φ = 1088185466880.

The previous prime is 4081348144799. The next prime is 4081348144807. The reversal of 4081348144800 is 84418431804.

4081348144800 is a `hidden beast` number, since 40 + 8 + 13 + 481 + 44 + 80 + 0 = 666.

4081348144800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4081348144807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190911712 + ... + 190933088.

It is an arithmetic number, because the mean of its divisors is an integer number (51261237300).

Almost surely, 2^{4081348144800} is an apocalyptic number.

4081348144800 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 4081348144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381618171200).

4081348144800 is an abundant number, since it is smaller than the sum of its proper divisors (10681888197600).

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

4081348144800 is a wasteful number, since it uses less digits than its factorization.

4081348144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30245 (or 30226 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 4081348144800 in words is "four trillion, eighty-one billion, three hundred forty-eight million, one hundred forty-four thousand, eight hundred".