218041178440 has 64 divisors (see below), whose sum is σ = 502201244160. Its totient is φ = 85154334720.

The previous prime is 218041178429. The next prime is 218041178479. The reversal of 218041178440 is 44871140812.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 218041178393 and 218041178402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4546185 + ... + 4593895.

It is an arithmetic number, because the mean of its divisors is an integer number (7846894440).

Almost surely, 2^218041178440 is an apocalyptic number.

218041178440 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 218041178440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251100622080).

218041178440 is an abundant number, since it is smaller than the sum of its proper divisors (284160065720).

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

218041178440 is a wasteful number, since it uses less digits than its factorization.

218041178440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50422 (or 50418 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 218041178440 in words is "two hundred eighteen billion, forty-one million, one hundred seventy-eight thousand, four hundred forty".