4205945216 has 64 divisors (see below), whose sum is σ = 9151468560. Its totient is φ = 1909555200.

The previous prime is 4205945201. The next prime is 4205945251. The reversal of 4205945216 is 6125495024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4205945216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2084240 + ... + 2086256.

Almost surely, 2^4205945216 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 4205945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575734280).

4205945216 is an abundant number, since it is smaller than the sum of its proper divisors (4945523344).

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

4205945216 is a wasteful number, since it uses less digits than its factorization.

4205945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 4205945216 is about 64853.2591008347. The cubic root of 4205945216 is about 1614.1895713704.

The spelling of 4205945216 in words is "four billion, two hundred five million, nine hundred forty-five thousand, two hundred sixteen".