233301142402340 has 192 divisors, whose sum is σ = 524214219432960. Its totient is φ = 86956565921280.

The previous prime is 233301142402277. The next prime is 233301142402379. The reversal of 233301142402340 is 43204241103332.

It is a junction number, because it is equal to n+sod(n) for n = 233301142402297 and 233301142402306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78897916142 + ... + 78897919098.

It is an arithmetic number, because the mean of its divisors is an integer number (2730282392880).

Almost surely, 2^{233301142402340} is an apocalyptic number.

233301142402340 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 233301142402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262107109716480).

233301142402340 is an abundant number, since it is smaller than the sum of its proper divisors (290913077030620).

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

233301142402340 is a wasteful number, since it uses less digits than its factorization.

233301142402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 233301142402340 its reverse (43204241103332), we get a palindrome (276505383505672).

The spelling of 233301142402340 in words is "two hundred thirty-three trillion, three hundred one billion, one hundred forty-two million, four hundred two thousand, three hundred forty".