4344016822272 has 560 divisors, whose sum is σ = 13470544023552. Its totient is φ = 1393538826240.

The previous prime is 4344016822267. The next prime is 4344016822273. The reversal of 4344016822272 is 2722286104434.

4344016822272 is a `hidden beast` number, since 4 + 3 + 440 + 168 + 22 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344016822273) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4587134503 + ... + 4587135449.

Almost surely, 2^{4344016822272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344016822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735272011776).

4344016822272 is an abundant number, since it is smaller than the sum of its proper divisors (9126527201280).

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

4344016822272 is an equidigital number, since it uses as much as digits as its factorization.

4344016822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4344016822272 in words is "four trillion, three hundred forty-four billion, sixteen million, eight hundred twenty-two thousand, two hundred seventy-two".