4226223817728 has 1320 divisors, whose sum is σ = 15021721176000. Its totient is φ = 1178508165120.

The previous prime is 4226223817657. The next prime is 4226223817771. The reversal of 4226223817728 is 8277183226224.

4226223817728 is a `hidden beast` number, since 4 + 2 + 2 + 622 + 3 + 8 + 1 + 7 + 7 + 2 + 8 = 666.

4226223817728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7055465173 + ... + 7055465771.

It is an arithmetic number, because the mean of its divisors is an integer number (11380091800).

Almost surely, 2^{4226223817728} is an apocalyptic number.

4226223817728 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 4226223817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510860588000).

4226223817728 is an abundant number, since it is smaller than the sum of its proper divisors (10795497358272).

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

4226223817728 is a wasteful number, since it uses less digits than its factorization.

4226223817728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 671 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 4226223817728 in words is "four trillion, two hundred twenty-six billion, two hundred twenty-three million, eight hundred seventeen thousand, seven hundred twenty-eight".