414066200000 has 168 divisors, whose sum is σ = 1028491297344. Its totient is φ = 165388160000.

The previous prime is 414066199931. The next prime is 414066200011. The reversal of 414066200000 is 2660414.

It is a happy number.

It is a congruent number.

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, 220599062 + ... + 220600938.

It is an arithmetic number, because the mean of its divisors is an integer number (6121972008).

Almost surely, 2^414066200000 is an apocalyptic number.

414066200000 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 414066200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514245648672).

414066200000 is an abundant number, since it is smaller than the sum of its proper divisors (614425097344).

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

414066200000 is an equidigital number, since it uses as much as digits as its factorization.

414066200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 414066200000 its reverse (2660414), we get a palindrome (414068860414).

The spelling of 414066200000 in words is "four hundred fourteen billion, sixty-six million, two hundred thousand".