434324142113130 has 192 divisors, whose sum is σ = 1152159556792608. Its totient is φ = 113475544565760.

The previous prime is 434324142113051. The next prime is 434324142113153. The reversal of 434324142113130 is 31311241423434.

434324142113130 is a `hidden beast` number, since 4 + 3 + 4 + 32 + 41 + 421 + 131 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 132701345434449 + 301622796678681 = 11519607^2 + 17367291^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12453007252 + ... + 12453042128.

Almost surely, 2^{434324142113130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434324142113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576079778396304).

434324142113130 is an abundant number, since it is smaller than the sum of its proper divisors (717835414679478).

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

434324142113130 is a wasteful number, since it uses less digits than its factorization.

434324142113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38521 (or 38518 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 434324142113130 its reverse (31311241423434), we get a palindrome (465635383536564).

The spelling of 434324142113130 in words is "four hundred thirty-four trillion, three hundred twenty-four billion, one hundred forty-two million, one hundred thirteen thousand, one hundred thirty".