334143133412140 has 192 divisors, whose sum is σ = 764956483200000. Its totient is φ = 121867370505216.

The previous prime is 334143133412117. The next prime is 334143133412147. The reversal of 334143133412140 is 41214331341433.

It is a super-2 number, since 2×334143133412140² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334143133412140.

It is not an unprimeable number, because it can be changed into a prime (334143133412147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29572800211 + ... + 29572811509.

It is an arithmetic number, because the mean of its divisors is an integer number (3984148350000).

Almost surely, 2^{334143133412140} 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 334143133412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382478241600000).

334143133412140 is an abundant number, since it is smaller than the sum of its proper divisors (430813349787860).

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

334143133412140 is a wasteful number, since it uses less digits than its factorization.

334143133412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14136 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 334143133412140 its reverse (41214331341433), we get a palindrome (375357464753573).

The spelling of 334143133412140 in words is "three hundred thirty-four trillion, one hundred forty-three billion, one hundred thirty-three million, four hundred twelve thousand, one hundred forty".