4218411280 has 80 divisors (see below), whose sum is σ = 10638162864. Its totient is φ = 1549352960.

The previous prime is 4218411271. The next prime is 4218411283. The reversal of 4218411280 is 821148124.

It can be written as a sum of positive squares in 8 ways, for example, as 130599184 + 4087812096 = 11428^2 + 63936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4218411283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17934 + ... + 93586.

Almost surely, 2^4218411280 is an apocalyptic number.

4218411280 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 4218411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319081432).

4218411280 is an abundant number, since it is smaller than the sum of its proper divisors (6419751584).

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

4218411280 is a wasteful number, since it uses less digits than its factorization.

4218411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75724 (or 75718 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4218411280 is about 64949.2977637172. The cubic root of 4218411280 is about 1615.7827719151.

The spelling of 4218411280 in words is "four billion, two hundred eighteen million, four hundred eleven thousand, two hundred eighty".