233344414040 has 64 divisors (see below), whose sum is σ = 544035571200. Its totient is φ = 90013053312.

The previous prime is 233344414013. The next prime is 233344414087. The reversal of 233344414040 is 40414443332.

233344414040 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 = 233344413988 and 233344414006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 722762 + ... + 994521.

It is an arithmetic number, because the mean of its divisors is an integer number (8500555800).

Almost surely, 2^233344414040 is an apocalyptic number.

233344414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233344414040 is an abundant number, since it is smaller than the sum of its proper divisors (310691157160).

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

233344414040 is a wasteful number, since it uses less digits than its factorization.

233344414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717416 (or 1717412 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 233344414040 its reverse (40414443332), we get a palindrome (273758857372).

The spelling of 233344414040 in words is "two hundred thirty-three billion, three hundred forty-four million, four hundred fourteen thousand, forty".