4217428846080 has 480 divisors, whose sum is σ = 15024763353600. Its totient is φ = 1092761174016.

The previous prime is 4217428846067. The next prime is 4217428846123. The reversal of 4217428846080 is 806488247124.

4217428846080 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 4 + 28 + 8 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 150506311 + ... + 150534329.

It is an arithmetic number, because the mean of its divisors is an integer number (31301590320).

Almost surely, 2^{4217428846080} is an apocalyptic number.

4217428846080 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 4217428846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512381676800).

4217428846080 is an abundant number, since it is smaller than the sum of its proper divisors (10807334507520).

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

4217428846080 is a wasteful number, since it uses less digits than its factorization.

4217428846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28234 (or 28215 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 4217428846080 in words is "four trillion, two hundred seventeen billion, four hundred twenty-eight million, eight hundred forty-six thousand, eighty".