224889133800240 has 960 divisors, whose sum is σ = 938887917327360. Its totient is φ = 46973798277120.

The previous prime is 224889133800203. The next prime is 224889133800259. The reversal of 224889133800240 is 42008331988422.

224889133800240 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 8 + 9 + 13 + 380 + 0 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3596296014 + ... + 3596358546.

It is an arithmetic number, because the mean of its divisors is an integer number (978008247216).

Almost surely, 2^{224889133800240} is an apocalyptic number.

224889133800240 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 224889133800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469443958663680).

224889133800240 is an abundant number, since it is smaller than the sum of its proper divisors (713998783527120).

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

224889133800240 is a wasteful number, since it uses less digits than its factorization.

224889133800240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63122 (or 63113 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 224889133800240 in words is "two hundred twenty-four trillion, eight hundred eighty-nine billion, one hundred thirty-three million, eight hundred thousand, two hundred forty".