218936710850440 has 512 divisors, whose sum is σ = 580658838036480. Its totient is φ = 73490560000000.

The previous prime is 218936710850213. The next prime is 218936710850449. The reversal of 218936710850440 is 44058017639812.

218936710850440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218936710850449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67344418815 + ... + 67344422065.

It is an arithmetic number, because the mean of its divisors is an integer number (1134099293040).

It is a 1-persistent number, because it is pandigital, but 2⋅218936710850440 = 437873421700880 is not.

Almost surely, 2^{218936710850440} is an apocalyptic number.

218936710850440 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 218936710850440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290329419018240).

218936710850440 is an abundant number, since it is smaller than the sum of its proper divisors (361722127186040).

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

218936710850440 is a wasteful number, since it uses less digits than its factorization.

218936710850440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 218936710850440 in words is "two hundred eighteen trillion, nine hundred thirty-six billion, seven hundred ten million, eight hundred fifty thousand, four hundred forty".