34123301241024 has 224 divisors, whose sum is σ = 95042253782016. Its totient is φ = 10784095027200.

The previous prime is 34123301241023. The next prime is 34123301241103. The reversal of 34123301241024 is 42014210332143.

It is a junction number, because it is equal to n+sod(n) for n = 34123301240982 and 34123301241000.

It is not an unprimeable number, because it can be changed into a prime (34123301241023) 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, 304678924 + ... + 304790900.

Almost surely, 2^{34123301241024} 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 34123301241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47521126891008).

34123301241024 is an abundant number, since it is smaller than the sum of its proper divisors (60918952540992).

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

34123301241024 is a wasteful number, since it uses less digits than its factorization.

34123301241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112623 (or 112613 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34123301241024 its reverse (42014210332143), we get a palindrome (76137511573167).

The spelling of 34123301241024 in words is "thirty-four trillion, one hundred twenty-three billion, three hundred one million, two hundred forty-one thousand, twenty-four".