4216020584960 has 320 divisors, whose sum is σ = 10837826334720. Its totient is φ = 1567362908160.

The previous prime is 4216020584927. The next prime is 4216020584987. The reversal of 4216020584960 is 694850206124.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265690495 + ... + 1265693825.

It is an arithmetic number, because the mean of its divisors is an integer number (33868207296).

Almost surely, 2^{4216020584960} is an apocalyptic number.

4216020584960 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 4216020584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418913167360).

4216020584960 is an abundant number, since it is smaller than the sum of its proper divisors (6621805749760).

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

4216020584960 is a wasteful number, since it uses less digits than its factorization.

4216020584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 4216020584960 in words is "four trillion, two hundred sixteen billion, twenty million, five hundred eighty-four thousand, nine hundred sixty".