201304334440 has 64 divisors (see below), whose sum is σ = 498728612160. Its totient is φ = 72517432320.

The previous prime is 201304334401. The next prime is 201304334443. The reversal of 201304334440 is 44433403102.

201304334440 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 2×201304334440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201304334399 and 201304334408.

It is not an unprimeable number, because it can be changed into a prime (201304334443) 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 15 ways as a sum of consecutive naturals, for example, 2090817 + ... + 2184976.

It is an arithmetic number, because the mean of its divisors is an integer number (7792634565).

Almost surely, 2^201304334440 is an apocalyptic number.

201304334440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201304334440 is an abundant number, since it is smaller than the sum of its proper divisors (297424277720).

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

201304334440 is a wasteful number, since it uses less digits than its factorization.

201304334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275922 (or 4275918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 201304334440 its reverse (44433403102), we get a palindrome (245737737542).

The spelling of 201304334440 in words is "two hundred one billion, three hundred four million, three hundred thirty-four thousand, four hundred forty".