4019806568448 has 576 divisors, whose sum is σ = 12879269544960. Its totient is φ = 1207169187840.

The previous prime is 4019806568447. The next prime is 4019806568501. The reversal of 4019806568448 is 8448656089104.

4019806568448 is a `hidden beast` number, since 40 + 1 + 98 + 0 + 6 + 5 + 68 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4019806568441) 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 35 ways as a sum of consecutive naturals, for example, 4531912261 + ... + 4531913147.

It is an arithmetic number, because the mean of its divisors is an integer number (22359842960).

Almost surely, 2^{4019806568448} is an apocalyptic number.

4019806568448 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 4019806568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439634772480).

4019806568448 is an abundant number, since it is smaller than the sum of its proper divisors (8859462976512).

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

4019806568448 is a wasteful number, since it uses less digits than its factorization.

4019806568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

It can be divided in two parts, 401980656 and 8448, that added together give a palindrome (401989104).

The spelling of 4019806568448 in words is "four trillion, nineteen billion, eight hundred six million, five hundred sixty-eight thousand, four hundred forty-eight".