218044794240 has 2304 divisors, whose sum is σ = 1023948656640. Its totient is φ = 43893964800.

The previous prime is 218044794229. The next prime is 218044794241. The reversal of 218044794240 is 42497440812.

218044794240 is a `hidden beast` number, since 2 + 1 + 80 + 447 + 94 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218044794241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3071053405 + ... + 3071053475.

It is an arithmetic number, because the mean of its divisors is an integer number (444422160).

Almost surely, 2^218044794240 is an apocalyptic number.

218044794240 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 218044794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511974328320).

218044794240 is an abundant number, since it is smaller than the sum of its proper divisors (805903862400).

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

218044794240 is a wasteful number, since it uses less digits than its factorization.

218044794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 218044794240 in words is "two hundred eighteen billion, forty-four million, seven hundred ninety-four thousand, two hundred forty".