218741249400 has 192 divisors, whose sum is σ = 695630833920. Its totient is φ = 56829696000.

The previous prime is 218741249347. The next prime is 218741249413. The reversal of 218741249400 is 4942147812.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10335229 + ... + 10356371.

It is an arithmetic number, because the mean of its divisors is an integer number (3623077260).

Almost surely, 2^218741249400 is an apocalyptic number.

218741249400 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 218741249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347815416960).

218741249400 is an abundant number, since it is smaller than the sum of its proper divisors (476889584520).

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

218741249400 is a wasteful number, since it uses less digits than its factorization.

218741249400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21606 (or 21597 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 218741249400 in words is "two hundred eighteen billion, seven hundred forty-one million, two hundred forty-nine thousand, four hundred".