4168442638080 has 648 divisors, whose sum is σ = 17230571309952. Its totient is φ = 927031246848.

The previous prime is 4168442638069. The next prime is 4168442638109. The reversal of 4168442638080 is 808362448614.

It is a happy number.

4168442638080 is a `hidden beast` number, since 4 + 1 + 68 + 4 + 426 + 3 + 80 + 80 = 666.

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 71 ways as a sum of consecutive naturals, for example, 20785969 + ... + 20985551.

It is an arithmetic number, because the mean of its divisors is an integer number (26590387824).

Almost surely, 2^{4168442638080} is an apocalyptic number.

4168442638080 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 4168442638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615285654976).

4168442638080 is an abundant number, since it is smaller than the sum of its proper divisors (13062128671872).

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

4168442638080 is a wasteful number, since it uses less digits than its factorization.

4168442638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199661 (or 199637 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4168442638080 in words is "four trillion, one hundred sixty-eight billion, four hundred forty-two million, six hundred thirty-eight thousand, eighty".