218211301440 has 336 divisors, whose sum is σ = 845204645376. Its totient is φ = 51193036800.

The previous prime is 218211301433. The next prime is 218211301489. The reversal of 218211301440 is 44103112812.

218211301440 is a `hidden beast` number, since 2 + 1 + 8 + 211 + 3 + 0 + 1 + 440 = 666.

It is a super-2 number, since 2×218211301440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870984 + ... + 1093176.

It is an arithmetic number, because the mean of its divisors is an integer number (2515490016).

Almost surely, 2^218211301440 is an apocalyptic number.

218211301440 is a gapful number since it is divisible by the number (20) 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 218211301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422602322688).

218211301440 is an abundant number, since it is smaller than the sum of its proper divisors (626993343936).

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

218211301440 is a wasteful number, since it uses less digits than its factorization.

218211301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222258 (or 222245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 218211301440 in words is "two hundred eighteen billion, two hundred eleven million, three hundred one thousand, four hundred forty".