4217936640 has 144 divisors (see below), whose sum is σ = 14263669728. Its totient is φ = 1058603008.

The previous prime is 4217936633. The next prime is 4217936687. The reversal of 4217936640 is 466397124.

It is a junction number, because it is equal to n+sod(n) for n = 4217936592 and 4217936601.

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, 32974 + ... + 97586.

It is an arithmetic number, because the mean of its divisors is an integer number (99053262).

Almost surely, 2^4217936640 is an apocalyptic number.

4217936640 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 4217936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131834864).

4217936640 is an abundant number, since it is smaller than the sum of its proper divisors (10045733088).

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

4217936640 is a wasteful number, since it uses less digits than its factorization.

4217936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64654 (or 64640 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 4217936640 is about 64945.6437338179. The cubic root of 4217936640 is about 1615.7221690127.

The spelling of 4217936640 in words is "four billion, two hundred seventeen million, nine hundred thirty-six thousand, six hundred forty".