201475040256 has 528 divisors, whose sum is σ = 696801158144. Its totient is φ = 56954658816.

The previous prime is 201475040213. The next prime is 201475040267. The reversal of 201475040256 is 652040574102.

It is a happy number.

201475040256 is a `hidden beast` number, since 2 + 0 + 147 + 504 + 0 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201475040256.

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, 179407311 + ... + 179408433.

Almost surely, 2^201475040256 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 201475040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348400579072).

201475040256 is an abundant number, since it is smaller than the sum of its proper divisors (495326117888).

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

201475040256 is a wasteful number, since it uses less digits than its factorization.

201475040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 201475040256 in words is "two hundred one billion, four hundred seventy-five million, forty thousand, two hundred fifty-six".