4217712240 has 480 divisors, whose sum is σ = 16381362240. Its totient is φ = 894910464.

The previous prime is 4217712217. The next prime is 4217712253. The reversal of 4217712240 is 422177124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4217712198 and 4217712207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57776844 + ... + 57776916.

It is an arithmetic number, because the mean of its divisors is an integer number (34127838).

Almost surely, 2^4217712240 is an apocalyptic number.

4217712240 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 4217712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190681120).

4217712240 is an abundant number, since it is smaller than the sum of its proper divisors (12163650000).

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

4217712240 is a wasteful number, since it uses less digits than its factorization.

4217712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4217712240 is about 64943.9161122888. The cubic root of 4217712240 is about 1615.6935156280.

Adding to 4217712240 its reverse (422177124), we get a palindrome (4639889364).

The spelling of 4217712240 in words is "four billion, two hundred seventeen million, seven hundred twelve thousand, two hundred forty".