234158400000 has 1440 divisors, whose sum is σ = 1017308388096. Its totient is φ = 50688000000.

The previous prime is 234158399971. The next prime is 234158400001. The reversal of 234158400000 is 4851432.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234158400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2318399950 + ... + 2318400050.

Almost surely, 2^234158400000 is an apocalyptic number.

234158400000 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 234158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508654194048).

234158400000 is an abundant number, since it is smaller than the sum of its proper divisors (783149988096).

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

234158400000 is an equidigital number, since it uses as much as digits as its factorization.

234158400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 234158400000 in words is "two hundred thirty-four billion, one hundred fifty-eight million, four hundred thousand".