4066058880 has 288 divisors, whose sum is σ = 15207376860. Its totient is φ = 1000636416.

The previous prime is 4066058873. The next prime is 4066058911. The reversal of 4066058880 is 888506604.

4066058880 is a `hidden beast` number, since 4 + 0 + 6 + 60 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1209370176 + 2856688704 = 34776^2 + 53448^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 971352 + ... + 975528.

Almost surely, 2^4066058880 is an apocalyptic number.

4066058880 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 4066058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603688430).

4066058880 is an abundant number, since it is smaller than the sum of its proper divisors (11141317980).

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

4066058880 is a wasteful number, since it uses less digits than its factorization.

4066058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4066058880 is about 63765.6559599288. The cubic root of 4066058880 is about 1596.0918785556.

The spelling of 4066058880 in words is "four billion, sixty-six million, fifty-eight thousand, eight hundred eighty".