4282218420480 has 3600 divisors, whose sum is σ = 21413430635520. Its totient is φ = 794868940800.

The previous prime is 4282218420427. The next prime is 4282218420517. The reversal of 4282218420480 is 840248122824.

4282218420480 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 218 + 420 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 138136078065 + ... + 138136078095.

Almost surely, 2^{4282218420480} is an apocalyptic number.

4282218420480 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 4282218420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706715317760).

4282218420480 is an abundant number, since it is smaller than the sum of its proper divisors (17131212215040).

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

4282218420480 is an equidigital number, since it uses as much as digits as its factorization.

4282218420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 4282218420480 in words is "four trillion, two hundred eighty-two billion, two hundred eighteen million, four hundred twenty thousand, four hundred eighty".