34014231440 has 80 divisors (see below), whose sum is σ = 90759191040. Its totient is φ = 11613181440.

The previous prime is 34014231379. The next prime is 34014231443. The reversal of 34014231440 is 4413241043.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34014231443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6770 + ... + 260910.

It is an arithmetic number, because the mean of its divisors is an integer number (1134489888).

Almost surely, 2^34014231440 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 34014231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45379595520).

34014231440 is an abundant number, since it is smaller than the sum of its proper divisors (56744959600).

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

34014231440 is a wasteful number, since it uses less digits than its factorization.

34014231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254400 (or 254394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34014231440 its reverse (4413241043), we get a palindrome (38427472483).

The spelling of 34014231440 in words is "thirty-four billion, fourteen million, two hundred thirty-one thousand, four hundred forty".