218040613440 has 448 divisors, whose sum is σ = 786407408640. Its totient is φ = 50740715520.

The previous prime is 218040613411. The next prime is 218040613451. The reversal of 218040613440 is 44316040812.

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 63 ways as a sum of consecutive naturals, for example, 224552155 + ... + 224553125.

It is an arithmetic number, because the mean of its divisors is an integer number (1755373680).

Almost surely, 2^218040613440 is an apocalyptic number.

218040613440 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 218040613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393203704320).

218040613440 is an abundant number, since it is smaller than the sum of its proper divisors (568366795200).

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

218040613440 is a wasteful number, since it uses less digits than its factorization.

218040613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 218040613440 in words is "two hundred eighteen billion, forty million, six hundred thirteen thousand, four hundred forty".