334354420444000 has 768 divisors, whose sum is σ = 962846864179200. Its totient is φ = 112827955968000.

The previous prime is 334354420443983. The next prime is 334354420444043. The reversal of 334354420444000 is 444024453433.

It is a super-2 number, since 2×334354420444000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8387568069 + ... + 8387607931.

It is an arithmetic number, because the mean of its divisors is an integer number (1253706854400).

Almost surely, 2^{334354420444000} 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 334354420444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481423432089600).

334354420444000 is an abundant number, since it is smaller than the sum of its proper divisors (628492443735200).

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

334354420444000 is a wasteful number, since it uses less digits than its factorization.

334354420444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40124 (or 40106 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 40.

Adding to 334354420444000 its reverse (444024453433), we get a palindrome (334798444897433).

The spelling of 334354420444000 in words is "three hundred thirty-four trillion, three hundred fifty-four billion, four hundred twenty million, four hundred forty-four thousand".