201326063502240 has 288 divisors, whose sum is σ = 706225335051600. Its totient is φ = 52189171679232.

The previous prime is 201326063502199. The next prime is 201326063502253. The reversal of 201326063502240 is 42205360623102.

201326063502240 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 60 + 6 + 350 + 2 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66644560886544 + 134681502615696 = 8163612^2 + 11605236^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201326063502195 and 201326063502204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57822336 + ... + 61205184.

Almost surely, 2^{201326063502240} is an apocalyptic number.

201326063502240 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 201326063502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353112667525800).

201326063502240 is an abundant number, since it is smaller than the sum of its proper divisors (504899271549360).

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

201326063502240 is a wasteful number, since it uses less digits than its factorization.

201326063502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384024 (or 3384013 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 201326063502240 in words is "two hundred one trillion, three hundred twenty-six billion, sixty-three million, five hundred two thousand, two hundred forty".