414014000201 has 8 divisors (see below), whose sum is σ = 425223750600. Its totient is φ = 402805312128.

The previous prime is 414014000131. The next prime is 414014000207. The reversal of 414014000201 is 102000410414.

It can be written as a sum of positive squares in 4 ways, for example, as 194746572601 + 219267427600 = 441301^2 + 468260^2 .

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 414014000201 - 2²² = 414009805897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414014000201.

It is not an unprimeable number, because it can be changed into a prime (414014000207) 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, 558575 + ... + 1067723.

It is an arithmetic number, because the mean of its divisors is an integer number (53152968825).

Almost surely, 2^414014000201 is an apocalyptic number.

It is an amenable number.

414014000201 is a deficient number, since it is larger than the sum of its proper divisors (11209750399).

414014000201 is a wasteful number, since it uses less digits than its factorization.

414014000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531163.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 414014000201 its reverse (102000410414), we get a palindrome (516014410615).

The spelling of 414014000201 in words is "four hundred fourteen billion, fourteen million, two hundred one", and thus it is an aban number.