233440135040 has 256 divisors, whose sum is σ = 651327022080. Its totient is φ = 78353104896.

The previous prime is 233440135013. The next prime is 233440135051. The reversal of 233440135040 is 40531044332.

It is a junction number, because it is equal to n+sod(n) for n = 233440134994 and 233440135012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50124392 + ... + 50129048.

It is an arithmetic number, because the mean of its divisors is an integer number (2544246180).

Almost surely, 2^233440135040 is an apocalyptic number.

233440135040 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 233440135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325663511040).

233440135040 is an abundant number, since it is smaller than the sum of its proper divisors (417886887040).

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

233440135040 is a wasteful number, since it uses less digits than its factorization.

233440135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 233440135040 its reverse (40531044332), we get a palindrome (273971179372).

The spelling of 233440135040 in words is "two hundred thirty-three billion, four hundred forty million, one hundred thirty-five thousand, forty".