4197211506 has 80 divisors (see below), whose sum is σ = 9594307800. Its totient is φ = 1371064320.

The previous prime is 4197211471. The next prime is 4197211519. The reversal of 4197211506 is 6051127914.

4197211506 is a `hidden beast` number, since 41 + 97 + 21 + 1 + 506 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2632613481 + 1564598025 = 51309^2 + 39555^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3448210 + ... + 3449426.

Almost surely, 2^4197211506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197211506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797153900).

4197211506 is an abundant number, since it is smaller than the sum of its proper divisors (5397096294).

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

4197211506 is a wasteful number, since it uses less digits than its factorization.

4197211506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 4197211506 is about 64785.8897137332. The cubic root of 4197211506 is about 1613.0715006163.

The spelling of 4197211506 in words is "four billion, one hundred ninety-seven million, two hundred eleven thousand, five hundred six".