414023244200 has 48 divisors (see below), whose sum is σ = 963962065500. Its totient is φ = 165375659520.

The previous prime is 414023244199. The next prime is 414023244203. The reversal of 414023244200 is 2442320414.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28921083844 + 385102160356 = 170062^2 + 620566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414023244200.

It is not an unprimeable number, because it can be changed into a prime (414023244203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318085 + ... + 1601684.

Almost surely, 2^414023244200 is an apocalyptic number.

414023244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414023244200 is an abundant number, since it is smaller than the sum of its proper divisors (549938821300).

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

414023244200 is a wasteful number, since it uses less digits than its factorization.

414023244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920494 (or 2920485 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 414023244200 its reverse (2442320414), we get a palindrome (416465564614).

The spelling of 414023244200 in words is "four hundred fourteen billion, twenty-three million, two hundred forty-four thousand, two hundred".