4218220010880 has 768 divisors, whose sum is σ = 15819312600000. Its totient is φ = 1032099397632.

The previous prime is 4218220010827. The next prime is 4218220010911. The reversal of 4218220010880 is 880100228124.

4218220010880 is a `hidden beast` number, since 421 + 8 + 220 + 0 + 1 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 927282846 + ... + 927287394.

Almost surely, 2^{4218220010880} is an apocalyptic number.

4218220010880 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 4218220010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909656300000).

4218220010880 is an abundant number, since it is smaller than the sum of its proper divisors (11601092589120).

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

4218220010880 is a wasteful number, since it uses less digits than its factorization.

4218220010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 4218220010880 in words is "four trillion, two hundred eighteen billion, two hundred twenty million, ten thousand, eight hundred eighty".