4066707408 has 80 divisors (see below), whose sum is σ = 11143334400. Its totient is φ = 1274382720.

The previous prime is 4066707391. The next prime is 4066707431. The reversal of 4066707408 is 8047076604.

It is a self number, because there is not a number n which added to its sum of digits gives 4066707408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102453 + ... + 136491.

It is an arithmetic number, because the mean of its divisors is an integer number (139291680).

Almost surely, 2^4066707408 is an apocalyptic number.

4066707408 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 4066707408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571667200).

4066707408 is an abundant number, since it is smaller than the sum of its proper divisors (7076626992).

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

4066707408 is a wasteful number, since it uses less digits than its factorization.

4066707408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34200 (or 34194 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 4066707408 is about 63770.7410024378. The cubic root of 4066707408 is about 1596.1767318313.

The spelling of 4066707408 in words is "four billion, sixty-six million, seven hundred seven thousand, four hundred eight".