201031434240 has 960 divisors, whose sum is σ = 808553249280. Its totient is φ = 41523609600.

The previous prime is 201031434187. The next prime is 201031434271. The reversal of 201031434240 is 42434130102.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201031434240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990410190 + ... + 1990410290.

It is an arithmetic number, because the mean of its divisors is an integer number (842242968).

Almost surely, 2^201031434240 is an apocalyptic number.

201031434240 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 201031434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404276624640).

201031434240 is an abundant number, since it is smaller than the sum of its proper divisors (607521815040).

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

201031434240 is a wasteful number, since it uses less digits than its factorization.

201031434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201031434240 its reverse (42434130102), we get a palindrome (243465564342).

The spelling of 201031434240 in words is "two hundred one billion, thirty-one million, four hundred thirty-four thousand, two hundred forty".