34021444334140 has 96 divisors (see below), whose sum is σ = 76273455734784. Its totient is φ = 12702246036480.

The previous prime is 34021444334131. The next prime is 34021444334149. The reversal of 34021444334140 is 4143344412043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34021444334131) and next prime (34021444334149).

It is a self number, because there is not a number n which added to its sum of digits gives 34021444334140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021444334149) 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, 70265557 + ... + 70748083.

It is an arithmetic number, because the mean of its divisors is an integer number (794515163904).

Almost surely, 2^{34021444334140} 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 34021444334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38136727867392).

34021444334140 is an abundant number, since it is smaller than the sum of its proper divisors (42252011400644).

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

34021444334140 is a wasteful number, since it uses less digits than its factorization.

34021444334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484267 (or 484265 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 34021444334140 its reverse (4143344412043), we get a palindrome (38164788746183).

The spelling of 34021444334140 in words is "thirty-four trillion, twenty-one billion, four hundred forty-four million, three hundred thirty-four thousand, one hundred forty".