4071633006 has 128 divisors (see below), whose sum is σ = 10332241920. Its totient is φ = 1042854912.

The previous prime is 4071633001. The next prime is 4071633017. The reversal of 4071633006 is 6003361704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4071633001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779195 + ... + 1781481.

It is an arithmetic number, because the mean of its divisors is an integer number (80720640).

Almost surely, 2^4071633006 is an apocalyptic number.

4071633006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4071633006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166120960).

4071633006 is an abundant number, since it is smaller than the sum of its proper divisors (6260608914).

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

4071633006 is a wasteful number, since it uses less digits than its factorization.

4071633006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 4071633006 is about 63809.3488918356. The cubic root of 4071633006 is about 1596.8209018408.

The spelling of 4071633006 in words is "four billion, seventy-one million, six hundred thirty-three thousand, six".