234340401000 has 256 divisors, whose sum is σ = 746454009600. Its totient is φ = 61186944000.

The previous prime is 234340400993. The next prime is 234340401011. The reversal of 234340401000 is 104043432.

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 63 ways as a sum of consecutive naturals, for example, 98419810 + ... + 98422190.

It is an arithmetic number, because the mean of its divisors is an integer number (2915835975).

Almost surely, 2^234340401000 is an apocalyptic number.

234340401000 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 234340401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373227004800).

234340401000 is an abundant number, since it is smaller than the sum of its proper divisors (512113608600).

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

234340401000 is a wasteful number, since it uses less digits than its factorization.

234340401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 234340401000 its reverse (104043432), we get a palindrome (234444444432).

The spelling of 234340401000 in words is "two hundred thirty-four billion, three hundred forty million, four hundred one thousand".