34241013010144 has 96 divisors (see below), whose sum is σ = 70522444298880. Its totient is φ = 16349746483200.

The previous prime is 34241013010133. The next prime is 34241013010157. The reversal of 34241013010144 is 44101031014243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29398762 + ... + 30541270.

It is an arithmetic number, because the mean of its divisors is an integer number (734608794780).

Almost surely, 2^{34241013010144} 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 34241013010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35261222149440).

34241013010144 is an abundant number, since it is smaller than the sum of its proper divisors (36281431288736).

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

34241013010144 is a wasteful number, since it uses less digits than its factorization.

34241013010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143044 (or 1143036 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34241013010144 its reverse (44101031014243), we get a palindrome (78342044024387).

The spelling of 34241013010144 in words is "thirty-four trillion, two hundred forty-one billion, thirteen million, ten thousand, one hundred forty-four".