4283871788448 has 288 divisors, whose sum is σ = 14983231011840. Its totient is φ = 1133080289280.

The previous prime is 4283871788369. The next prime is 4283871788489. The reversal of 4283871788448 is 8448871783824.

4283871788448 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 8 + 7 + 178 + 8 + 448 = 666.

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 (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066033 + ... + 3115151.

It is an arithmetic number, because the mean of its divisors is an integer number (52025107680).

Almost surely, 2^{4283871788448} is an apocalyptic number.

4283871788448 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 4283871788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491615505920).

4283871788448 is an abundant number, since it is smaller than the sum of its proper divisors (10699359223392).

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

4283871788448 is a wasteful number, since it uses less digits than its factorization.

4283871788448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049220 (or 2049209 counting only the distinct ones).

The product of its digits is 616562688, while the sum is 72.

The spelling of 4283871788448 in words is "four trillion, two hundred eighty-three billion, eight hundred seventy-one million, seven hundred eighty-eight thousand, four hundred forty-eight".