4023666080 has 288 divisors, whose sum is σ = 11942525952. Its totient is φ = 1253376000.

The previous prime is 4023666061. The next prime is 4023666107. The reversal of 4023666080 is 806663204.

4023666080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4023666080.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10033880 + ... + 10034280.

It is an arithmetic number, because the mean of its divisors is an integer number (41467104).

Almost surely, 2^4023666080 is an apocalyptic number.

4023666080 is a gapful number since it is divisible by the number (40) 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 4023666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971262976).

4023666080 is an abundant number, since it is smaller than the sum of its proper divisors (7918859872).

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

4023666080 is a wasteful number, since it uses less digits than its factorization.

4023666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 4023666080 is about 63432.3740687671. The cubic root of 4023666080 is about 1590.5255280616.

The spelling of 4023666080 in words is "four billion, twenty-three million, six hundred sixty-six thousand, eighty".