434142001304 has 96 divisors (see below), whose sum is σ = 942256056000. Its totient is φ = 186867933120.

The previous prime is 434142001291. The next prime is 434142001417. The reversal of 434142001304 is 403100241434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59935907 + ... + 59943149.

It is an arithmetic number, because the mean of its divisors is an integer number (9815167250).

Almost surely, 2^434142001304 is an apocalyptic number.

434142001304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434142001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471128028000).

434142001304 is an abundant number, since it is smaller than the sum of its proper divisors (508114054696).

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

434142001304 is a wasteful number, since it uses less digits than its factorization.

434142001304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 434142001304 its reverse (403100241434), we get a palindrome (837242242738).

The spelling of 434142001304 in words is "four hundred thirty-four billion, one hundred forty-two million, one thousand, three hundred four".