4040066304 has 108 divisors (see below), whose sum is σ = 11672096436. Its totient is φ = 1343963136.

The previous prime is 4040066281. The next prime is 4040066309. The reversal of 4040066304 is 4036600404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1571963904 + 2468102400 = 39648^2 + 49680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040066309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364794 + ... + 1367750.

It is an arithmetic number, because the mean of its divisors is an integer number (108074967).

Almost surely, 2^4040066304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836048218).

4040066304 is an abundant number, since it is smaller than the sum of its proper divisors (7632030132).

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

4040066304 is a wasteful number, since it uses less digits than its factorization.

4040066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4040066304 is about 63561.5159038864. The cubic root of 4040066304 is about 1592.6835612403.

Adding to 4040066304 its reverse (4036600404), we get a palindrome (8076666708).

The spelling of 4040066304 in words is "four billion, forty million, sixty-six thousand, three hundred four".