334114440000 has 560 divisors, whose sum is σ = 1237834716096. Its totient is φ = 78796800000.

The previous prime is 334114439987. The next prime is 334114440007. The reversal of 334114440000 is 44411433.

It is a super-2 number, since 2×334114440000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334114440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48836580 + ... + 48843420.

Almost surely, 2^334114440000 is an apocalyptic number.

334114440000 is a gapful number since it is divisible by the number (30) 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 334114440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618917358048).

334114440000 is an abundant number, since it is smaller than the sum of its proper divisors (903720276096).

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

334114440000 is a wasteful number, since it uses less digits than its factorization.

334114440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 334114440000 its reverse (44411433), we get a palindrome (334158851433).

The spelling of 334114440000 in words is "three hundred thirty-four billion, one hundred fourteen million, four hundred forty thousand".