214034123000401 has 8 divisors (see below), whose sum is σ = 233492006476800. Its totient is φ = 194576278845840.

The previous prime is 214034123000333. The next prime is 214034123000461. The reversal of 214034123000401 is 104000321430412.

214034123000401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 214034123000401 - 2⁷ = 214034123000273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214034123000461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189680 + ... + 20805358.

It is an arithmetic number, because the mean of its divisors is an integer number (29186500809600).

Almost surely, 2^{214034123000401} is an apocalyptic number.

It is an amenable number.

214034123000401 is a deficient number, since it is larger than the sum of its proper divisors (19457883476399).

214034123000401 is a wasteful number, since it uses less digits than its factorization.

214034123000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19660919.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214034123000401 its reverse (104000321430412), we get a palindrome (318034444430813).

The spelling of 214034123000401 in words is "two hundred fourteen trillion, thirty-four billion, one hundred twenty-three million, four hundred one", and thus it is an aban number.