218257418400 has 144 divisors (see below), whose sum is σ = 811917658944. Its totient is φ = 49887406080.

The previous prime is 218257418389. The next prime is 218257418411. The reversal of 218257418400 is 4814752812.

It is an interprime number because it is at equal distance from previous prime (218257418389) and next prime (218257418411).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 6478957 + ... + 6512556.

It is an arithmetic number, because the mean of its divisors is an integer number (5638317076).

Almost surely, 2^218257418400 is an apocalyptic number.

218257418400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218257418400 is an abundant number, since it is smaller than the sum of its proper divisors (593660240544).

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

218257418400 is a wasteful number, since it uses less digits than its factorization.

218257418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991543 (or 12991530 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 218257418400 in words is "two hundred eighteen billion, two hundred fifty-seven million, four hundred eighteen thousand, four hundred".