201330511440 has 80 divisors (see below), whose sum is σ = 627082679616. Its totient is φ = 53433676800.

The previous prime is 201330511429. The next prime is 201330511457. The reversal of 201330511440 is 44115033102.

It is a happy number.

201330511440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 201330511440.

It is a congruent number.

It is an unprimeable number.

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, 1937221 + ... + 2038500.

Almost surely, 2^201330511440 is an apocalyptic number.

201330511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330511440 is an abundant number, since it is smaller than the sum of its proper divisors (425752168176).

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

201330511440 is a wasteful number, since it uses less digits than its factorization.

201330511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975948 (or 3975942 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 201330511440 its reverse (44115033102), we get a palindrome (245445544542).

The spelling of 201330511440 in words is "two hundred one billion, three hundred thirty million, five hundred eleven thousand, four hundred forty".