218813921040 has 640 divisors, whose sum is σ = 888243148800. Its totient is φ = 43657297920.

The previous prime is 218813921003. The next prime is 218813921041. The reversal of 218813921040 is 40129318812.

218813921040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 218813921040.

It is not an unprimeable number, because it can be changed into a prime (218813921041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11075491 + ... + 11095229.

It is an arithmetic number, because the mean of its divisors is an integer number (1387879920).

Almost surely, 2^218813921040 is an apocalyptic number.

218813921040 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 218813921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444121574400).

218813921040 is an abundant number, since it is smaller than the sum of its proper divisors (669429227760).

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

218813921040 is a wasteful number, since it uses less digits than its factorization.

218813921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19815 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 218813921040 in words is "two hundred eighteen billion, eight hundred thirteen million, nine hundred twenty-one thousand, forty".