34340141440 has 256 divisors, whose sum is σ = 95273418240. Its totient is φ = 11697356800.

The previous prime is 34340141413. The next prime is 34340141449. The reversal of 34340141440 is 4414104343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34340141399 and 34340141408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340141449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31475295 + ... + 31476385.

It is an arithmetic number, because the mean of its divisors is an integer number (372161790).

Almost surely, 2^34340141440 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 34340141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47636709120).

34340141440 is an abundant number, since it is smaller than the sum of its proper divisors (60933276800).

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

34340141440 is a wasteful number, since it uses less digits than its factorization.

34340141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34340141440 its reverse (4414104343), we get a palindrome (38754245783).

The spelling of 34340141440 in words is "thirty-four billion, three hundred forty million, one hundred forty-one thousand, four hundred forty".