218125440 has 256 divisors, whose sum is σ = 832809600. Its totient is φ = 53637120.

The previous prime is 218125433. The next prime is 218125441. The reversal of 218125440 is 44521812.

218125440 is a `hidden beast` number, since 218 + 1 + 2 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (218125441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224155 + ... + 225125.

Almost surely, 2^218125440 is an apocalyptic number.

218125440 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 218125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416404800).

218125440 is an abundant number, since it is smaller than the sum of its proper divisors (614684160).

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

218125440 is a wasteful number, since it uses less digits than its factorization.

218125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 218125440 is about 14769.0703837445. The cubic root of 218125440 is about 601.9615800177.

The spelling of 218125440 in words is "two hundred eighteen million, one hundred twenty-five thousand, four hundred forty".