4066442889408 has 448 divisors, whose sum is σ = 12509518694400. Its totient is φ = 1294113300480.

The previous prime is 4066442889389. The next prime is 4066442889463. The reversal of 4066442889408 is 8049882446604.

4066442889408 is a `hidden beast` number, since 40 + 66 + 442 + 8 + 8 + 94 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1738537903 + ... + 1738540241.

It is an arithmetic number, because the mean of its divisors is an integer number (27923032800).

Almost surely, 2^{4066442889408} is an apocalyptic number.

4066442889408 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 4066442889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254759347200).

4066442889408 is an abundant number, since it is smaller than the sum of its proper divisors (8443075804992).

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

4066442889408 is a wasteful number, since it uses less digits than its factorization.

4066442889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 4066442889408 in words is "four trillion, sixty-six billion, four hundred forty-two million, eight hundred eighty-nine thousand, four hundred eight".