218186710415040 has 224 divisors, whose sum is σ = 699435447358464. Its totient is φ = 57621350891520.

The previous prime is 218186710415029. The next prime is 218186710415071. The reversal of 218186710415040 is 40514017681812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330120105 + ... + 330780375.

Almost surely, 2^{218186710415040} is an apocalyptic number.

218186710415040 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 218186710415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349717723679232).

218186710415040 is an abundant number, since it is smaller than the sum of its proper divisors (481248736943424).

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

218186710415040 is a wasteful number, since it uses less digits than its factorization.

218186710415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663615 (or 663605 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 218186710415040 in words is "two hundred eighteen trillion, one hundred eighty-six billion, seven hundred ten million, four hundred fifteen thousand, forty".