414320400200 has 96 divisors (see below), whose sum is σ = 1136421788160. Its totient is φ = 137470348800.

The previous prime is 414320400187. The next prime is 414320400217. The reversal of 414320400200 is 2004023414.

It is a super-2 number, since 2×414320400200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4729877 + ... + 4816676.

It is an arithmetic number, because the mean of its divisors is an integer number (11837726960).

Almost surely, 2^414320400200 is an apocalyptic number.

414320400200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414320400200 is an abundant number, since it is smaller than the sum of its proper divisors (722101387960).

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

414320400200 is a wasteful number, since it uses less digits than its factorization.

414320400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9546607 (or 9546598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 414320400200 its reverse (2004023414), we get a palindrome (416324423614).

The spelling of 414320400200 in words is "four hundred fourteen billion, three hundred twenty million, four hundred thousand, two hundred".