4381618147200 has 1152 divisors, whose sum is σ = 18785455153920. Its totient is φ = 987703787520.

The previous prime is 4381618147169. The next prime is 4381618147217. The reversal of 4381618147200 is 27418161834.

4381618147200 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 618 + 1 + 4 + 7 + 20 + 0 = 666.

4381618147200 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 (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397348087 + ... + 397359113.

It is an arithmetic number, because the mean of its divisors is an integer number (16306818710).

Almost surely, 2^{4381618147200} is an apocalyptic number.

4381618147200 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 4381618147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392727576960).

4381618147200 is an abundant number, since it is smaller than the sum of its proper divisors (14403837006720).

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

4381618147200 is a wasteful number, since it uses less digits than its factorization.

4381618147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4381618147200 in words is "four trillion, three hundred eighty-one billion, six hundred eighteen million, one hundred forty-seven thousand, two hundred".