4217730048 has 704 divisors, whose sum is σ = 15930572800. Its totient is φ = 1074954240.

The previous prime is 4217730047. The next prime is 4217730059. The reversal of 4217730048 is 8400377124.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4217729994 and 4217730021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217730047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113992686 + ... + 113992722.

Almost surely, 2^4217730048 is an apocalyptic number.

4217730048 is a gapful number since it is divisible by the number (48) 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 4217730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965286400).

4217730048 is an abundant number, since it is smaller than the sum of its proper divisors (11712842752).

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

4217730048 is a wasteful number, since it uses less digits than its factorization.

4217730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4217730048 is about 64944.0532150558. The cubic root of 4217730048 is about 1615.6957895487.

The spelling of 4217730048 in words is "four billion, two hundred seventeen million, seven hundred thirty thousand, forty-eight".