4217385360 has 80 divisors (see below), whose sum is σ = 13104411264. Its totient is φ = 1122011136.

The previous prime is 4217385343. The next prime is 4217385371. The reversal of 4217385360 is 635837124.

It is a tau number, because it is divible by the number of its divisors (80).

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, 83629 + ... + 124211.

Almost surely, 2^4217385360 is an apocalyptic number.

4217385360 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 4217385360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552205632).

4217385360 is an abundant number, since it is smaller than the sum of its proper divisors (8887025904).

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

4217385360 is a wasteful number, since it uses less digits than its factorization.

4217385360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41032 (or 41026 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4217385360 is about 64941.3994305636. The cubic root of 4217385360 is about 1615.6517748681.

The spelling of 4217385360 in words is "four billion, two hundred seventeen million, three hundred eighty-five thousand, three hundred sixty".