201041540784 has 160 divisors (see below), whose sum is σ = 661937633280. Its totient is φ = 57228249600.

The previous prime is 201041540753. The next prime is 201041540789. The reversal of 201041540784 is 487045140102.

It is a happy number.

201041540784 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 41 + 540 + 78 + 4 = 666.

201041540784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201041540784² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201041540789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696844 + ... + 942164.

It is an arithmetic number, because the mean of its divisors is an integer number (4137110208).

Almost surely, 2^201041540784 is an apocalyptic number.

201041540784 is a gapful number since it is divisible by the number (24) 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 201041540784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330968816640).

201041540784 is an abundant number, since it is smaller than the sum of its proper divisors (460896092496).

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

201041540784 is a wasteful number, since it uses less digits than its factorization.

201041540784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245616 (or 245604 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 201041540784 its reverse (487045140102), we get a palindrome (688086680886).

The spelling of 201041540784 in words is "two hundred one billion, forty-one million, five hundred forty thousand, seven hundred eighty-four".