434310166414401 has 8 divisors (see below), whose sum is σ = 579533691132864. Its totient is φ = 289313376319440.

The previous prime is 434310166414357. The next prime is 434310166414409. The reversal of 434310166414401 is 104414661013434.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 434310166414401 - 2⁹ = 434310166413889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434310166414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56683651405 + ... + 56683659066.

It is an arithmetic number, because the mean of its divisors is an integer number (72441711391608).

Almost surely, 2^{434310166414401} is an apocalyptic number.

It is an amenable number.

434310166414401 is a deficient number, since it is larger than the sum of its proper divisors (145223524718463).

434310166414401 is a wasteful number, since it uses less digits than its factorization.

434310166414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113367311751.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 434310166414401 in words is "four hundred thirty-four trillion, three hundred ten billion, one hundred sixty-six million, four hundred fourteen thousand, four hundred one".