434024344032 has 96 divisors (see below), whose sum is σ = 1199851833600. Its totient is φ = 136994715648.

The previous prime is 434024344027. The next prime is 434024344057. The reversal of 434024344032 is 230443420434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 434024343984 and 434024344002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3827413 + ... + 3939179.

It is an arithmetic number, because the mean of its divisors is an integer number (12498456600).

Almost surely, 2^434024344032 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 434024344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599925916800).

434024344032 is an abundant number, since it is smaller than the sum of its proper divisors (765827489568).

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

434024344032 is a wasteful number, since it uses less digits than its factorization.

434024344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113928 (or 113920 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 434024344032 its reverse (230443420434), we get a palindrome (664467764466).

The spelling of 434024344032 in words is "four hundred thirty-four billion, twenty-four million, three hundred forty-four thousand, thirty-two".