233041124040 has 128 divisors (see below), whose sum is σ = 711503308800. Its totient is φ = 61045436160.

The previous prime is 233041124033. The next prime is 233041124051. The reversal of 233041124040 is 40421140332.

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 233041124040.

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 31 ways as a sum of consecutive naturals, for example, 10063275 + ... + 10086405.

It is an arithmetic number, because the mean of its divisors is an integer number (5558619600).

Almost surely, 2^233041124040 is an apocalyptic number.

233041124040 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 233041124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355751654400).

233041124040 is an abundant number, since it is smaller than the sum of its proper divisors (478462184760).

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

233041124040 is a wasteful number, since it uses less digits than its factorization.

233041124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24627 (or 24623 counting only the distinct ones).

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

Adding to 233041124040 its reverse (40421140332), we get a palindrome (273462264372).

The spelling of 233041124040 in words is "two hundred thirty-three billion, forty-one million, one hundred twenty-four thousand, forty".