201032404272 has 240 divisors, whose sum is σ = 657881702400. Its totient is φ = 57282470784.

The previous prime is 201032404271. The next prime is 201032404289. The reversal of 201032404272 is 272404230102.

201032404272 is a `hidden beast` number, since 201 + 0 + 32 + 4 + 0 + 427 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (201032404271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18911823 + ... + 18922449.

It is an arithmetic number, because the mean of its divisors is an integer number (2741173760).

Almost surely, 2^201032404272 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 201032404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328940851200).

201032404272 is an abundant number, since it is smaller than the sum of its proper divisors (456849298128).

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

201032404272 is a wasteful number, since it uses less digits than its factorization.

201032404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11045 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 201032404272 its reverse (272404230102), we get a palindrome (473436634374).

The spelling of 201032404272 in words is "two hundred one billion, thirty-two million, four hundred four thousand, two hundred seventy-two".