240098225328 has 320 divisors, whose sum is σ = 751425655680. Its totient is φ = 72961523712.

The previous prime is 240098225317. The next prime is 240098225347. The reversal of 240098225328 is 823522890042.

240098225328 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 98 + 22 + 532 + 8 = 666.

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, 251938900 + ... + 251939852.

It is an arithmetic number, because the mean of its divisors is an integer number (2348205174).

Almost surely, 2^240098225328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240098225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375712827840).

240098225328 is an abundant number, since it is smaller than the sum of its proper divisors (511327430352).

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

240098225328 is a wasteful number, since it uses less digits than its factorization.

240098225328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 240098225328 in words is "two hundred forty billion, ninety-eight million, two hundred twenty-five thousand, three hundred twenty-eight".