4314434771130 has 256 divisors, whose sum is σ = 12102827673600. Its totient is φ = 973211120640.

The previous prime is 4314434771123. The next prime is 4314434771173. The reversal of 4314434771130 is 311774344134.

It is a happy number.

It is a super-2 number, since 2×4314434771130² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 472396044 + ... + 472405176.

It is an arithmetic number, because the mean of its divisors is an integer number (47276670600).

Almost surely, 2^{4314434771130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314434771130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051413836800).

4314434771130 is an abundant number, since it is smaller than the sum of its proper divisors (7788392902470).

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

4314434771130 is a wasteful number, since it uses less digits than its factorization.

4314434771130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509.

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 4314434771130 in words is "four trillion, three hundred fourteen billion, four hundred thirty-four million, seven hundred seventy-one thousand, one hundred thirty".