4193122969728 has 1536 divisors, whose sum is σ = 16393077043200. Its totient is φ = 996323328000.

The previous prime is 4193122969727. The next prime is 4193122969733. The reversal of 4193122969728 is 8279692213914.

4193122969728 is a `hidden beast` number, since 4 + 1 + 9 + 312 + 296 + 9 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4193122969727) 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, 7750689138 + ... + 7750689678.

It is an arithmetic number, because the mean of its divisors is an integer number (10672576200).

Almost surely, 2^{4193122969728} is an apocalyptic number.

4193122969728 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 4193122969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196538521600).

4193122969728 is an abundant number, since it is smaller than the sum of its proper divisors (12199954073472).

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

4193122969728 is a wasteful number, since it uses less digits than its factorization.

4193122969728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 4193122969728 in words is "four trillion, one hundred ninety-three billion, one hundred twenty-two million, nine hundred sixty-nine thousand, seven hundred twenty-eight".