4383199941120 has 1920 divisors, whose sum is σ = 21139766968320. Its totient is φ = 840614215680.

The previous prime is 4383199941103. The next prime is 4383199941151. The reversal of 4383199941120 is 211499913834.

4383199941120 is a `hidden beast` number, since 4 + 38 + 3 + 199 + 9 + 411 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622698561 + ... + 622705599.

It is an arithmetic number, because the mean of its divisors is an integer number (11010295296).

Almost surely, 2^{4383199941120} is an apocalyptic number.

4383199941120 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 4383199941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569883484160).

4383199941120 is an abundant number, since it is smaller than the sum of its proper divisors (16756567027200).

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

4383199941120 is a wasteful number, since it uses less digits than its factorization.

4383199941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 4383199941120 in words is "four trillion, three hundred eighty-three billion, one hundred ninety-nine million, nine hundred forty-one thousand, one hundred twenty".