233434042304000 has 80 divisors (see below), whose sum is σ = 582082374272256. Its totient is φ = 93373616896000.

The previous prime is 233434042303961. The next prime is 233434042304027. The reversal of 233434042304000 is 403240434332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1823639456 + ... + 1823767455.

Almost surely, 2^{233434042304000} is an apocalyptic number.

233434042304000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233434042304000 is an abundant number, since it is smaller than the sum of its proper divisors (348648331968256).

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

233434042304000 is an frugal number, since it uses more digits than its factorization.

233434042304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647406944 (or 3647406918 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 233434042304000 its reverse (403240434332), we get a palindrome (233837282738332).

The spelling of 233434042304000 in words is "two hundred thirty-three trillion, four hundred thirty-four billion, forty-two million, three hundred four thousand".