4217200960 has 224 divisors, whose sum is σ = 12019166208. Its totient is φ = 1379205120.

The previous prime is 4217200943. The next prime is 4217200961. The reversal of 4217200960 is 690027124.

4217200960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217200961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4315992 + ... + 4316968.

It is an arithmetic number, because the mean of its divisors is an integer number (53656992).

Almost surely, 2^4217200960 is an apocalyptic number.

4217200960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009583104).

4217200960 is an abundant number, since it is smaller than the sum of its proper divisors (7801965248).

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

4217200960 is a wasteful number, since it uses less digits than its factorization.

4217200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 4217200960 is about 64939.9796735416. The cubic root of 4217200960 is about 1615.6282270611.

The spelling of 4217200960 in words is "four billion, two hundred seventeen million, two hundred thousand, nine hundred sixty".