414413424100 has 36 divisors (see below), whose sum is σ = 968452297204. Its totient is φ = 153014186880.

The previous prime is 414413424079. The next prime is 414413424107. The reversal of 414413424100 is 1424314414.

It can be written as a sum of positive squares in 6 ways, for example, as 95095757376 + 319317666724 = 308376^2 + 565082^2 .

It is not an unprimeable number, because it can be changed into a prime (414413424107) 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, 159388479 + ... + 159391078.

Almost surely, 2^414413424100 is an apocalyptic number.

It is an amenable number.

414413424100 is an abundant number, since it is smaller than the sum of its proper divisors (554038873104).

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

414413424100 is a wasteful number, since it uses less digits than its factorization.

414413424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318779584 (or 318779577 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414413424100 its reverse (1424314414), we get a palindrome (415837738514).

The spelling of 414413424100 in words is "four hundred fourteen billion, four hundred thirteen million, four hundred twenty-four thousand, one hundred".