233742010443700 has 144 divisors (see below), whose sum is σ = 585898700333184. Its totient is φ = 79994708684800.

The previous prime is 233742010443653. The next prime is 233742010443703. The reversal of 233742010443700 is 7344010247332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233742010443703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639675249 + ... + 640040551.

It is an arithmetic number, because the mean of its divisors is an integer number (4068740974536).

Almost surely, 2^{233742010443700} is an apocalyptic number.

233742010443700 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 233742010443700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292949350166592).

233742010443700 is an abundant number, since it is smaller than the sum of its proper divisors (352156689889484).

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

233742010443700 is a wasteful number, since it uses less digits than its factorization.

233742010443700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399562 (or 399555 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 233742010443700 in words is "two hundred thirty-three trillion, seven hundred forty-two billion, ten million, four hundred forty-three thousand, seven hundred".