233205233300040 has 128 divisors (see below), whose sum is σ = 704337294960000. Its totient is φ = 61768395921408.

The previous prime is 233205233299981. The next prime is 233205233300059. The reversal of 233205233300040 is 40003332502332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233205233299980 and 233205233300007.

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, 510764332 + ... + 511220708.

It is an arithmetic number, because the mean of its divisors is an integer number (5502635116875).

Almost surely, 2^{233205233300040} is an apocalyptic number.

233205233300040 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 233205233300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352168647480000).

233205233300040 is an abundant number, since it is smaller than the sum of its proper divisors (471132061659960).

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

233205233300040 is a wasteful number, since it uses less digits than its factorization.

233205233300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485119 (or 485115 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 233205233300040 its reverse (40003332502332), we get a palindrome (273208565802372).

The spelling of 233205233300040 in words is "two hundred thirty-three trillion, two hundred five billion, two hundred thirty-three million, three hundred thousand, forty".