414330120200 has 24 divisors (see below), whose sum is σ = 963317529930. Its totient is φ = 165732048000.

The previous prime is 414330120179. The next prime is 414330120247. The reversal of 414330120200 is 2021033414.

It can be written as a sum of positive squares in 3 ways, for example, as 363968476804 + 50361643396 = 603298^2 + 224414^2 .

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 5 ways as a sum of consecutive naturals, for example, 1035825101 + ... + 1035825500.

Almost surely, 2^414330120200 is an apocalyptic number.

414330120200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414330120200 is an abundant number, since it is smaller than the sum of its proper divisors (548987409730).

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

414330120200 is a wasteful number, since it uses less digits than its factorization.

414330120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071650617 (or 2071650608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 414330120200 its reverse (2021033414), we get a palindrome (416351153614).

The spelling of 414330120200 in words is "four hundred fourteen billion, three hundred thirty million, one hundred twenty thousand, two hundred".