4234134134340 has 144 divisors (see below), whose sum is σ = 14032595618496. Its totient is φ = 1024884537600.

The previous prime is 4234134134323. The next prime is 4234134134357. The reversal of 4234134134340 is 434314314324.

4234134134340 is a `hidden beast` number, since 4 + 234 + 1 + 3 + 41 + 343 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4234134134323) and next prime (4234134134357).

It is a super-3 number, since 3×4234134134340³ (a number of 39 digits) contains 333 as substring.

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 = 4234134134295 and 4234134134304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 344466 + ... + 2930345.

It is an arithmetic number, because the mean of its divisors is an integer number (97448580684).

Almost surely, 2^{4234134134340} 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 4234134134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016297809248).

4234134134340 is an abundant number, since it is smaller than the sum of its proper divisors (9798461484156).

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

4234134134340 is a wasteful number, since it uses less digits than its factorization.

4234134134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275490 (or 3275485 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4234134134340 its reverse (434314314324), we get a palindrome (4668448448664).

The spelling of 4234134134340 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-four thousand, three hundred forty".