434205004351352 has 256 divisors, whose sum is σ = 923283906048000. Its totient is φ = 190053551923200.

The previous prime is 434205004351297. The next prime is 434205004351361. The reversal of 434205004351352 is 253153400502434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86684965424 + ... + 86684970432.

It is an arithmetic number, because the mean of its divisors is an integer number (3606577758000).

Almost surely, 2^{434205004351352} 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 434205004351352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461641953024000).

434205004351352 is an abundant number, since it is smaller than the sum of its proper divisors (489078901696648).

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

434205004351352 is a wasteful number, since it uses less digits than its factorization.

434205004351352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 434205004351352 its reverse (253153400502434), we get a palindrome (687358404853786).

The spelling of 434205004351352 in words is "four hundred thirty-four trillion, two hundred five billion, four million, three hundred fifty-one thousand, three hundred fifty-two".