234042032410000 has 200 divisors, whose sum is σ = 568236205102104. Its totient is φ = 93353103360000.

The previous prime is 234042032409979. The next prime is 234042032410033. The reversal of 234042032410000 is 14230240432.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 205238974954896 + 28803057455104 = 14326164^2 + 5366848^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17837203440 + ... + 17837216560.

Almost surely, 2^{234042032410000} is an apocalyptic number.

234042032410000 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 234042032410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284118102551052).

234042032410000 is an abundant number, since it is smaller than the sum of its proper divisors (334194172692104).

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

234042032410000 is a wasteful number, since it uses less digits than its factorization.

234042032410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18039 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 234042032410000 its reverse (14230240432), we get a palindrome (234056262650432).

The spelling of 234042032410000 in words is "two hundred thirty-four trillion, forty-two billion, thirty-two million, four hundred ten thousand".