414014030201123 has 16 divisors (see below), whose sum is σ = 479265846642144. Its totient is φ = 353461468508160.

The previous prime is 414014030201047. The next prime is 414014030201147. The reversal of 414014030201123 is 321102030410414.

It is a cyclic number.

It is not a de Polignac number, because 414014030201123 - 2²⁰ = 414014029152547 is a prime.

It is a super-2 number, since 2×414014030201123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414014030201092 and 414014030201101.

It is not an unprimeable number, because it can be changed into a prime (414014030201153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2422210790 + ... + 2422381707.

It is an arithmetic number, because the mean of its divisors is an integer number (29954115415134).

Almost surely, 2^{414014030201123} is an apocalyptic number.

414014030201123 is a deficient number, since it is larger than the sum of its proper divisors (65251816441021).

414014030201123 is a wasteful number, since it uses less digits than its factorization.

414014030201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844592982.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414014030201123 its reverse (321102030410414), we get a palindrome (735116060611537).

The spelling of 414014030201123 in words is "four hundred fourteen trillion, fourteen billion, thirty million, two hundred one thousand, one hundred twenty-three".