4068471838080 has 1024 divisors, whose sum is σ = 14509393920000. Its totient is φ = 963555360768.

The previous prime is 4068471838069. The next prime is 4068471838129. The reversal of 4068471838080 is 808381748604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4068471838080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17022894601 + ... + 17022894839.

It is an arithmetic number, because the mean of its divisors is an integer number (14169330000).

Almost surely, 2^{4068471838080} is an apocalyptic number.

4068471838080 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 4068471838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254696960000).

4068471838080 is an abundant number, since it is smaller than the sum of its proper divisors (10440922081920).

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

4068471838080 is a wasteful number, since it uses less digits than its factorization.

4068471838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 4068471838080 in words is "four trillion, sixty-eight billion, four hundred seventy-one million, eight hundred thirty-eight thousand, eighty".