434211313330104 has 192 divisors, whose sum is σ = 1121761428353280. Its totient is φ = 140033167680000.

The previous prime is 434211313330073. The next prime is 434211313330141. The reversal of 434211313330104 is 401033313112434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386893204 + ... + 3387021404.

It is an arithmetic number, because the mean of its divisors is an integer number (5842507439340).

Almost surely, 2^{434211313330104} 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 434211313330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560880714176640).

434211313330104 is an abundant number, since it is smaller than the sum of its proper divisors (687550115023176).

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

434211313330104 is a wasteful number, since it uses less digits than its factorization.

434211313330104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128970 (or 128907 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 434211313330104 its reverse (401033313112434), we get a palindrome (835244626442538).

The spelling of 434211313330104 in words is "four hundred thirty-four trillion, two hundred eleven billion, three hundred thirteen million, three hundred thirty thousand, one hundred four".