4205617872 has 80 divisors (see below), whose sum is σ = 11068821312. Its totient is φ = 1375672320.

The previous prime is 4205617861. The next prime is 4205617901. The reversal of 4205617872 is 2787165024.

4205617872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888472 + ... + 893192.

Almost surely, 2^4205617872 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 4205617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534410656).

4205617872 is an abundant number, since it is smaller than the sum of its proper divisors (6863203440).

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

4205617872 is a wasteful number, since it uses less digits than its factorization.

4205617872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4205617872 is about 64850.7353235104. The cubic root of 4205617872 is about 1614.1476934292.

The spelling of 4205617872 in words is "four billion, two hundred five million, six hundred seventeen thousand, eight hundred seventy-two".