201471025428288 has 2016 divisors, whose sum is σ = 753617287987200. Its totient is φ = 50343451361280.

The previous prime is 201471025428287. The next prime is 201471025428289. The reversal of 201471025428288 is 882824520174102.

201471025428288 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 7 + 10 + 2 + 542 + 8 + 2 + 88 = 666.

201471025428288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201471025428287) and next prime (201471025428289).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×201471025428288² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201471025428287) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 531585818883 + ... + 531585819261.

It is an arithmetic number, because the mean of its divisors is an integer number (373818099200).

Almost surely, 2^{201471025428288} is an apocalyptic number.

201471025428288 is a gapful number since it is divisible by the number (28) 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 201471025428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376808643993600).

201471025428288 is an abundant number, since it is smaller than the sum of its proper divisors (552146262558912).

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

201471025428288 is a wasteful number, since it uses less digits than its factorization.

201471025428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 201471025428288 in words is "two hundred one trillion, four hundred seventy-one billion, twenty-five million, four hundred twenty-eight thousand, two hundred eighty-eight".