4217181696 has 480 divisors, whose sum is σ = 15282146880. Its totient is φ = 1089994752.

The previous prime is 4217181599. The next prime is 4217181719. The reversal of 4217181696 is 6961817124.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37320136 + ... + 37320248.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^4217181696 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 4217181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

4217181696 is an abundant number, since it is smaller than the sum of its proper divisors (11064965184).

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

4217181696 is a wasteful number, since it uses less digits than its factorization.

4217181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 4217181696 is about 64939.8313517983. The cubic root of 4217181696 is about 1615.6257670164.

The spelling of 4217181696 in words is "four billion, two hundred seventeen million, one hundred eighty-one thousand, six hundred ninety-six".