4066461630 has 384 divisors, whose sum is σ = 13868015616. Its totient is φ = 832809600.

The previous prime is 4066461629. The next prime is 4066461647. The reversal of 4066461630 is 361646604.

4066461630 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 4 + 616 + 30 = 666.

It is a super-2 number, since 2×4066461630² = 33072220376524513800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19272225 + ... + 19272435.

It is an arithmetic number, because the mean of its divisors is an integer number (36114624).

Almost surely, 2^4066461630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066461630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934007808).

4066461630 is an abundant number, since it is smaller than the sum of its proper divisors (9801553986).

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

4066461630 is a wasteful number, since it uses less digits than its factorization.

4066461630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4066461630 is about 63768.8139296945. The cubic root of 4066461630 is about 1596.1445753479.

The spelling of 4066461630 in words is "four billion, sixty-six million, four hundred sixty-one thousand, six hundred thirty".