4205950416 has 120 divisors (see below), whose sum is σ = 12555194184. Its totient is φ = 1309777920.

The previous prime is 4205950403. The next prime is 4205950423. The reversal of 4205950416 is 6140595024.

4205950416 is a `hidden beast` number, since 4 + 20 + 595 + 0 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2115632016 + 2090318400 = 45996^2 + 45720^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329106 + ... + 341646.

Almost surely, 2^4205950416 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 4205950416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277597092).

4205950416 is an abundant number, since it is smaller than the sum of its proper divisors (8349243768).

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

4205950416 is a wasteful number, since it uses less digits than its factorization.

4205950416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12700 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4205950416 is about 64853.2991913287. The cubic root of 4205950416 is about 1614.1902366019.

The spelling of 4205950416 in words is "four billion, two hundred five million, nine hundred fifty thousand, four hundred sixteen".