434141213414401 has 16 divisors (see below), whose sum is σ = 445475593886400. Its totient is φ = 422863349388480.

The previous prime is 434141213414347. The next prime is 434141213414417. The reversal of 434141213414401 is 104414312141434.

It is a cyclic number.

It is not a de Polignac number, because 434141213414401 - 2¹⁷ = 434141213283329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434141213414471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150800175 + ... + 153652123.

It is an arithmetic number, because the mean of its divisors is an integer number (27842224617900).

Almost surely, 2^{434141213414401} is an apocalyptic number.

It is an amenable number.

434141213414401 is a deficient number, since it is larger than the sum of its proper divisors (11334380471999).

434141213414401 is a wasteful number, since it uses less digits than its factorization.

434141213414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861856.

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 434141213414401 its reverse (104414312141434), we get a palindrome (538555525555835).

The spelling of 434141213414401 in words is "four hundred thirty-four trillion, one hundred forty-one billion, two hundred thirteen million, four hundred fourteen thousand, four hundred one".