414104403300 has 576 divisors, whose sum is σ = 1445680803840. Its totient is φ = 89552148480.

The previous prime is 414104403257. The next prime is 414104403331. The reversal of 414104403300 is 3304401414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472182462 + ... + 472183338.

Almost surely, 2^414104403300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414104403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722840401920).

414104403300 is an abundant number, since it is smaller than the sum of its proper divisors (1031576400540).

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

414104403300 is a wasteful number, since it uses less digits than its factorization.

414104403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414104403300 its reverse (3304401414), we get a palindrome (417408804714).

The spelling of 414104403300 in words is "four hundred fourteen billion, one hundred four million, four hundred three thousand, three hundred".