218100438041000 has 32 divisors (see below), whose sum is σ = 510355025018280. Its totient is φ = 87240175216000.

The previous prime is 218100438040981. The next prime is 218100438041021. The reversal of 218100438041000 is 140834001812.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108830755111204 + 109269682929796 = 10432198^2 + 10453214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109050218021 + ... + 109050220020.

Almost surely, 2^{218100438041000} is an apocalyptic number.

218100438041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218100438041000 is an abundant number, since it is smaller than the sum of its proper divisors (292254586977280).

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

218100438041000 is a wasteful number, since it uses less digits than its factorization.

218100438041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218100438062 (or 218100438048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 218100438041000 in words is "two hundred eighteen trillion, one hundred billion, four hundred thirty-eight million, forty-one thousand".