4041000306 has 128 divisors (see below), whose sum is σ = 10575360000. Its totient is φ = 1143220176.

The previous prime is 4041000277. The next prime is 4041000307. The reversal of 4041000306 is 6030001404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4041000307) 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 63 ways as a sum of consecutive naturals, for example, 1980835 + ... + 1982873.

It is an arithmetic number, because the mean of its divisors is an integer number (82620000).

Almost surely, 2^4041000306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041000306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

4041000306 is an abundant number, since it is smaller than the sum of its proper divisors (6534359694).

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

4041000306 is a wasteful number, since it uses less digits than its factorization.

4041000306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4041000306 is about 63568.8627080900. The cubic root of 4041000306 is about 1592.8062865374.

The spelling of 4041000306 in words is "four billion, forty-one million, three hundred six", and thus it is an aban number.