233407806340 has 24 divisors (see below), whose sum is σ = 490231490112. Its totient is φ = 93348818400.

The previous prime is 233407806323. The next prime is 233407806343. The reversal of 233407806340 is 43608704332.

233407806340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233407806293 and 233407806302.

It is not an unprimeable number, because it can be changed into a prime (233407806343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 759714 + ... + 1021753.

It is an arithmetic number, because the mean of its divisors is an integer number (20426312088).

Almost surely, 2^233407806340 is an apocalyptic number.

233407806340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233407806340 is an abundant number, since it is smaller than the sum of its proper divisors (256823683772).

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

233407806340 is a wasteful number, since it uses less digits than its factorization.

233407806340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788027 (or 1788025 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 233407806340 in words is "two hundred thirty-three billion, four hundred seven million, eight hundred six thousand, three hundred forty".