334044040000 has 560 divisors, whose sum is σ = 956384858880. Its totient is φ = 114580480000.

The previous prime is 334044039977. The next prime is 334044040003. The reversal of 334044040000 is 40440433.

It is a happy number.

It is a super-3 number, since 3×334044040000³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334044040003) 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, 599719722 + ... + 599720278.

Almost surely, 2^334044040000 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 334044040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478192429440).

334044040000 is an abundant number, since it is smaller than the sum of its proper divisors (622340818880).

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

334044040000 is a wasteful number, since it uses less digits than its factorization.

334044040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 334044040000 its reverse (40440433), we get a palindrome (334084480433).

The spelling of 334044040000 in words is "three hundred thirty-four billion, forty-four million, forty thousand".