414423213022200 has 384 divisors, whose sum is σ = 1359641061331200. Its totient is φ = 104131754496000.

The previous prime is 414423213022171. The next prime is 414423213022207. The reversal of 414423213022200 is 2220312324414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414423213022207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1588470964 + ... + 1588731836.

It is an arithmetic number, because the mean of its divisors is an integer number (3540731930550).

Almost surely, 2^{414423213022200} is an apocalyptic number.

414423213022200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414423213022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679820530665600).

414423213022200 is an abundant number, since it is smaller than the sum of its proper divisors (945217848309000).

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

414423213022200 is a wasteful number, since it uses less digits than its factorization.

414423213022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261663 (or 261654 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414423213022200 its reverse (2220312324414), we get a palindrome (416643525346614).

The spelling of 414423213022200 in words is "four hundred fourteen trillion, four hundred twenty-three billion, two hundred thirteen million, twenty-two thousand, two hundred".