414320400220 has 12 divisors (see below), whose sum is σ = 870072840504. Its totient is φ = 165728160080.

The previous prime is 414320400217. The next prime is 414320400229. The reversal of 414320400220 is 22004023414.

It is a happy number.

It is a super-2 number, since 2×414320400220² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414320400191 and 414320400200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414320400229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10358009986 + ... + 10358010025.

It is an arithmetic number, because the mean of its divisors is an integer number (72506070042).

Almost surely, 2^414320400220 is an apocalyptic number.

It is an amenable number.

414320400220 is an abundant number, since it is smaller than the sum of its proper divisors (455752440284).

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

414320400220 is a wasteful number, since it uses less digits than its factorization.

414320400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716020020 (or 20716020018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 414320400220 its reverse (22004023414), we get a palindrome (436324423634).

The spelling of 414320400220 in words is "four hundred fourteen billion, three hundred twenty million, four hundred thousand, two hundred twenty".