233120200340240 has 80 divisors (see below), whose sum is σ = 547041577263408. Its totient is φ = 92382206558208.

The previous prime is 233120200340129. The next prime is 233120200340249. The reversal of 233120200340240 is 42043002021332.

It can be written as a sum of positive squares in 8 ways, for example, as 64111152219136 + 169009048121104 = 8006944^2 + 13000348^2 .

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

It is not an unprimeable number, because it can be changed into a prime (233120200340249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14875322 + ... + 26220518.

Almost surely, 2^{233120200340240} is an apocalyptic number.

233120200340240 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 233120200340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273520788631704).

233120200340240 is an abundant number, since it is smaller than the sum of its proper divisors (313921376923168).

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

233120200340240 is a wasteful number, since it uses less digits than its factorization.

233120200340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347596 (or 11347590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 233120200340240 its reverse (42043002021332), we get a palindrome (275163202361572).

The spelling of 233120200340240 in words is "two hundred thirty-three trillion, one hundred twenty billion, two hundred million, three hundred forty thousand, two hundred forty".