4217967852420 has 576 divisors, whose sum is σ = 14284771393536. Its totient is φ = 926632949760.

The previous prime is 4217967852401. The next prime is 4217967852451. The reversal of 4217967852420 is 242587697124.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2733614169 + ... + 2733615711.

It is an arithmetic number, because the mean of its divisors is an integer number (24799950336).

Almost surely, 2^{4217967852420} 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 4217967852420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142385696768).

4217967852420 is an abundant number, since it is smaller than the sum of its proper divisors (10066803541116).

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

4217967852420 is a wasteful number, since it uses less digits than its factorization.

4217967852420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 4217967852420 in words is "four trillion, two hundred seventeen billion, nine hundred sixty-seven million, eight hundred fifty-two thousand, four hundred twenty".