4169997481728 has 432 divisors, whose sum is σ = 12727942214400. Its totient is φ = 1208914477056.

The previous prime is 4169997481709. The next prime is 4169997481747. The reversal of 4169997481728 is 8271847999614.

It is an interprime number because it is at equal distance from previous prime (4169997481709) and next prime (4169997481747).

It is a self number, because there is not a number n which added to its sum of digits gives 4169997481728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199999048 + ... + 200019896.

It is an arithmetic number, because the mean of its divisors is an integer number (29462829200).

Almost surely, 2^{4169997481728} is an apocalyptic number.

4169997481728 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 4169997481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363971107200).

4169997481728 is an abundant number, since it is smaller than the sum of its proper divisors (8557944732672).

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

4169997481728 is a wasteful number, since it uses less digits than its factorization.

4169997481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20984 (or 20957 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 75.

The spelling of 4169997481728 in words is "four trillion, one hundred sixty-nine billion, nine hundred ninety-seven million, four hundred eighty-one thousand, seven hundred twenty-eight".