233243304340240 has 40 divisors (see below), whose sum is σ = 543121143176088. Its totient is φ = 93154446796800.

The previous prime is 233243304340177. The next prime is 233243304340261. The reversal of 233243304340240 is 42043403342332.

It can be written as a sum of positive squares in 4 ways, for example, as 391330318096 + 232851974022144 = 625564^2 + 15259488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 233243304340240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2232368361 + ... + 2232472840.

Almost surely, 2^{233243304340240} is an apocalyptic number.

233243304340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233243304340240 is an abundant number, since it is smaller than the sum of its proper divisors (309877838835848).

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

233243304340240 is a wasteful number, since it uses less digits than its factorization.

233243304340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464841867 (or 4464841861 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 37.

Adding to 233243304340240 its reverse (42043403342332), we get a palindrome (275286707682572).

The spelling of 233243304340240 in words is "two hundred thirty-three trillion, two hundred forty-three billion, three hundred four million, three hundred forty thousand, two hundred forty".