434141334102 has 64 divisors (see below), whose sum is σ = 1003682534400. Its totient is φ = 122621030400.

The previous prime is 434141334079. The next prime is 434141334103. The reversal of 434141334102 is 201433141434.

It is a self number, because there is not a number n which added to its sum of digits gives 434141334102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434141334103) 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, 24478774 + ... + 24496502.

It is an arithmetic number, because the mean of its divisors is an integer number (15682539600).

Almost surely, 2^434141334102 is an apocalyptic number.

434141334102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434141334102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501841267200).

434141334102 is an abundant number, since it is smaller than the sum of its proper divisors (569541200298).

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

434141334102 is a wasteful number, since it uses less digits than its factorization.

434141334102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24381.

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

Adding to 434141334102 its reverse (201433141434), we get a palindrome (635574475536).

The spelling of 434141334102 in words is "four hundred thirty-four billion, one hundred forty-one million, three hundred thirty-four thousand, one hundred two".