414320400219 has 16 divisors (see below), whose sum is σ = 607628421504. Its totient is φ = 251103270440.

The previous prime is 414320400217. The next prime is 414320400229. The reversal of 414320400219 is 912004023414.

It is not a de Polignac number, because 414320400219 - 2¹ = 414320400217 is a prime.

It is a super-2 number, since 2×414320400219² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414320400217) 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, 51876849 + ... + 51884834.

It is an arithmetic number, because the mean of its divisors is an integer number (37976776344).

Almost surely, 2^414320400219 is an apocalyptic number.

414320400219 is a deficient number, since it is larger than the sum of its proper divisors (193308021285).

414320400219 is a wasteful number, since it uses less digits than its factorization.

414320400219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103761719 (or 103761697 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 414320400219 in words is "four hundred fourteen billion, three hundred twenty million, four hundred thousand, two hundred nineteen".