334323000231040 has 256 divisors, whose sum is σ = 851691059251200. Its totient is φ = 125054944215040.

The previous prime is 334323000230953. The next prime is 334323000231107. The reversal of 334323000231040 is 40132000323433.

It is a happy number.

It is a super-3 number, since 3×334323000231040³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4326143121 + ... + 4326220399.

It is an arithmetic number, because the mean of its divisors is an integer number (3326918200200).

Almost surely, 2^{334323000231040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334323000231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425845529625600).

334323000231040 is an abundant number, since it is smaller than the sum of its proper divisors (517368059020160).

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

334323000231040 is a wasteful number, since it uses less digits than its factorization.

334323000231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79863 (or 79851 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 334323000231040 its reverse (40132000323433), we get a palindrome (374455000554473).

The spelling of 334323000231040 in words is "three hundred thirty-four trillion, three hundred twenty-three billion, two hundred thirty-one thousand, forty".