4228738272000 has 1728 divisors, whose sum is σ = 17630067087360. Its totient is φ = 989936640000.

The previous prime is 4228738271881. The next prime is 4228738272001. The reversal of 4228738272000 is 2728378224.

4228738272000 is a `hidden beast` number, since 42 + 28 + 7 + 382 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4228738272001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9133343769 + ... + 9133344231.

It is an arithmetic number, because the mean of its divisors is an integer number (10202585120).

Almost surely, 2^{4228738272000} is an apocalyptic number.

4228738272000 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 4228738272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815033543680).

4228738272000 is an abundant number, since it is smaller than the sum of its proper divisors (13401328815360).

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

4228738272000 is a wasteful number, since it uses less digits than its factorization.

4228738272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 4228738272000 in words is "four trillion, two hundred twenty-eight billion, seven hundred thirty-eight million, two hundred seventy-two thousand".