414022014200 has 48 divisors (see below), whose sum is σ = 966346832880. Its totient is φ = 164964392960.

The previous prime is 414022014169. The next prime is 414022014223. The reversal of 414022014200 is 2410220414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3976052 + ... + 4078851.

It is an arithmetic number, because the mean of its divisors is an integer number (20132225685).

Almost surely, 2^414022014200 is an apocalyptic number.

414022014200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414022014200 is an abundant number, since it is smaller than the sum of its proper divisors (552324818680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414022014200 is a wasteful number, since it uses less digits than its factorization.

414022014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055176 (or 8055167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 414022014200 its reverse (2410220414), we get a palindrome (416432234614).

The spelling of 414022014200 in words is "four hundred fourteen billion, twenty-two million, fourteen thousand, two hundred".