4168485199872 has 1344 divisors, whose sum is σ = 15634572134400. Its totient is φ = 1090242478080.

The previous prime is 4168485199847. The next prime is 4168485199877. The reversal of 4168485199872 is 2789915848614.

4168485199872 is a `hidden beast` number, since 4 + 1 + 68 + 48 + 519 + 9 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4168485199872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168485199877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383591098 + ... + 6383591750.

Almost surely, 2^{4168485199872} is an apocalyptic number.

4168485199872 is a gapful number since it is divisible by the number (42) 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 4168485199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817286067200).

4168485199872 is an abundant number, since it is smaller than the sum of its proper divisors (11466086934528).

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

4168485199872 is a wasteful number, since it uses less digits than its factorization.

4168485199872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 715 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 4168485199872 in words is "four trillion, one hundred sixty-eight billion, four hundred eighty-five million, one hundred ninety-nine thousand, eight hundred seventy-two".