4066420536 has 256 divisors, whose sum is σ = 12483072000. Its totient is φ = 1220935680.

The previous prime is 4066420499. The next prime is 4066420541. The reversal of 4066420536 is 6350246604.

4066420536 is a `hidden beast` number, since 4 + 0 + 6 + 642 + 0 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4066420536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15822520 + ... + 15822776.

It is an arithmetic number, because the mean of its divisors is an integer number (48762000).

Almost surely, 2^4066420536 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 4066420536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241536000).

4066420536 is an abundant number, since it is smaller than the sum of its proper divisors (8416651464).

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

4066420536 is a wasteful number, since it uses less digits than its factorization.

4066420536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4066420536 is about 63768.4917180891. The cubic root of 4066420536 is about 1596.1391986681.

The spelling of 4066420536 in words is "four billion, sixty-six million, four hundred twenty thousand, five hundred thirty-six".