434301430304240 has 80 divisors (see below), whose sum is σ = 1036416972211200. Its totient is φ = 169169995526400.

The previous prime is 434301430304219. The next prime is 434301430304263. The reversal of 434301430304240 is 42403034103434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 434301430304240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289467086 + ... + 290963565.

It is an arithmetic number, because the mean of its divisors is an integer number (12955212152640).

Almost surely, 2^{434301430304240} is an apocalyptic number.

434301430304240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434301430304240 is an abundant number, since it is smaller than the sum of its proper divisors (602115541906960).

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

434301430304240 is a wasteful number, since it uses less digits than its factorization.

434301430304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580430910 (or 580430904 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 434301430304240 its reverse (42403034103434), we get a palindrome (476704464407674).

The spelling of 434301430304240 in words is "four hundred thirty-four trillion, three hundred one billion, four hundred thirty million, three hundred four thousand, two hundred forty".