201339430560 has 288 divisors, whose sum is σ = 693932475600. Its totient is φ = 53156511744.

The previous prime is 201339430553. The next prime is 201339430597. The reversal of 201339430560 is 65034933102.

It is a happy number.

201339430560 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 3 + 94 + 3 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 149481210384 + 51858220176 = 386628^2 + 227724^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88577584 + ... + 88579856.

Almost surely, 2^201339430560 is an apocalyptic number.

201339430560 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 201339430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346966237800).

201339430560 is an abundant number, since it is smaller than the sum of its proper divisors (492593045040).

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

201339430560 is a wasteful number, since it uses less digits than its factorization.

201339430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 201339430560 in words is "two hundred one billion, three hundred thirty-nine million, four hundred thirty thousand, five hundred sixty".