4338675143712 has 432 divisors, whose sum is σ = 15652234765440. Its totient is φ = 1129777818624.

The previous prime is 4338675143681. The next prime is 4338675143717. The reversal of 4338675143712 is 2173415768334.

4338675143712 is a `hidden beast` number, since 4 + 3 + 3 + 86 + 7 + 514 + 37 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (4338675143717) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14343343 + ... + 14642705.

It is an arithmetic number, because the mean of its divisors is an integer number (36232024920).

Almost surely, 2^{4338675143712} is an apocalyptic number.

4338675143712 is a gapful number since it is divisible by the number (42) 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 4338675143712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826117382720).

4338675143712 is an abundant number, since it is smaller than the sum of its proper divisors (11313559621728).

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

4338675143712 is a wasteful number, since it uses less digits than its factorization.

4338675143712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299485 (or 299467 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 4338675143712 in words is "four trillion, three hundred thirty-eight billion, six hundred seventy-five million, one hundred forty-three thousand, seven hundred twelve".