218104417069440 has 2048 divisors, whose sum is σ = 866116907827200. Its totient is φ = 45995301273600.

The previous prime is 218104417069417. The next prime is 218104417069463. The reversal of 218104417069440 is 44960714401812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (218104417069417) and next prime (218104417069463).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52848172657 + ... + 52848176783.

It is an arithmetic number, because the mean of its divisors is an integer number (422908646400).

Almost surely, 2^{218104417069440} is an apocalyptic number.

218104417069440 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 218104417069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433058453913600).

218104417069440 is an abundant number, since it is smaller than the sum of its proper divisors (648012490757760).

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

218104417069440 is a wasteful number, since it uses less digits than its factorization.

218104417069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 218104417069440 in words is "two hundred eighteen trillion, one hundred four billion, four hundred seventeen million, sixty-nine thousand, four hundred forty".