218873961240 has 256 divisors, whose sum is σ = 725267520000. Its totient is φ = 52401377280.

The previous prime is 218873961239. The next prime is 218873961277. The reversal of 218873961240 is 42169378812.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35202612 + ... + 35208828.

It is an arithmetic number, because the mean of its divisors is an integer number (2833076250).

Almost surely, 2^218873961240 is an apocalyptic number.

218873961240 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 218873961240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362633760000).

218873961240 is an abundant number, since it is smaller than the sum of its proper divisors (506393558760).

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

218873961240 is a wasteful number, since it uses less digits than its factorization.

218873961240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 218873961240 in words is "two hundred eighteen billion, eight hundred seventy-three million, nine hundred sixty-one thousand, two hundred forty".