233242055042000 has 40 divisors (see below), whose sum is σ = 563979289096392. Its totient is φ = 93296822016000.

The previous prime is 233242055041981. The next prime is 233242055042069. The reversal of 233242055042000 is 240550242332.

It can be written as a sum of positive squares in 4 ways, for example, as 10418486261824 + 222823568780176 = 3227768^2 + 14927276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58310511761 + ... + 58310515760.

Almost surely, 2^{233242055042000} is an apocalyptic number.

233242055042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233242055042000 is an abundant number, since it is smaller than the sum of its proper divisors (330737234054392).

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

233242055042000 is a wasteful number, since it uses less digits than its factorization.

233242055042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116621027544 (or 116621027528 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 233242055042000 in words is "two hundred thirty-three trillion, two hundred forty-two billion, fifty-five million, forty-two thousand".