4168905216 has 160 divisors (see below), whose sum is σ = 13361525760. Its totient is φ = 1128370176.

The previous prime is 4168905193. The next prime is 4168905229. The reversal of 4168905216 is 6125098614.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 194085 + ... + 214491.

It is an arithmetic number, because the mean of its divisors is an integer number (83509536).

Almost surely, 2^4168905216 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 4168905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680762880).

4168905216 is an abundant number, since it is smaller than the sum of its proper divisors (9192620544).

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

4168905216 is a wasteful number, since it uses less digits than its factorization.

4168905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454 (or 20438 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4168905216 is about 64567.0598370407. The cubic root of 4168905216 is about 1609.4370955001.

The spelling of 4168905216 in words is "four billion, one hundred sixty-eight million, nine hundred five thousand, two hundred sixteen".