4340433673728 has 240 divisors, whose sum is σ = 12769267848480. Its totient is φ = 1418831511552.

The previous prime is 4340433673711. The next prime is 4340433673753. The reversal of 4340433673728 is 8273763340434.

4340433673728 is a `hidden beast` number, since 43 + 40 + 433 + 67 + 3 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882378853 + ... + 882383771.

It is an arithmetic number, because the mean of its divisors is an integer number (53205282702).

Almost surely, 2^{4340433673728} is an apocalyptic number.

4340433673728 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 4340433673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384633924240).

4340433673728 is an abundant number, since it is smaller than the sum of its proper divisors (8428834174752).

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

4340433673728 is a wasteful number, since it uses less digits than its factorization.

4340433673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 54.

The spelling of 4340433673728 in words is "four trillion, three hundred forty billion, four hundred thirty-three million, six hundred seventy-three thousand, seven hundred twenty-eight".