34240202334144 has 168 divisors, whose sum is σ = 99619958522448. Its totient is φ = 11241722511360.

The previous prime is 34240202334103. The next prime is 34240202334157. The reversal of 34240202334144 is 44143320204243.

34240202334144 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 0 + 2 + 0 + 233 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34240202334099 and 34240202334108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358124554 + ... + 358220150.

It is an arithmetic number, because the mean of its divisors is an integer number (592975943586).

Almost surely, 2^{34240202334144} 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 34240202334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49809979261224).

34240202334144 is an abundant number, since it is smaller than the sum of its proper divisors (65379756188304).

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

34240202334144 is a wasteful number, since it uses less digits than its factorization.

34240202334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104963 (or 104950 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34240202334144 its reverse (44143320204243), we get a palindrome (78383522538387).

The spelling of 34240202334144 in words is "thirty-four trillion, two hundred forty billion, two hundred two million, three hundred thirty-four thousand, one hundred forty-four".