434140230204032 has 128 divisors (see below), whose sum is σ = 994285282101120. Its totient is φ = 186887742976000.

The previous prime is 434140230204019. The next prime is 434140230204059. The reversal of 434140230204032 is 230402032041434.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 434140230204032.

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, 63095603 + ... + 69637170.

It is an arithmetic number, because the mean of its divisors is an integer number (7767853766415).

Almost surely, 2^{434140230204032} is an apocalyptic number.

It is an amenable number.

434140230204032 is an abundant number, since it is smaller than the sum of its proper divisors (560145051897088).

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

434140230204032 is a wasteful number, since it uses less digits than its factorization.

434140230204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132732922 (or 132732910 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 434140230204032 its reverse (230402032041434), we get a palindrome (664542262245466).

The spelling of 434140230204032 in words is "four hundred thirty-four trillion, one hundred forty billion, two hundred thirty million, two hundred four thousand, thirty-two".