413200224442134 has 96 divisors (see below), whose sum is σ = 937965489237504. Its totient is φ = 131212871856000.

The previous prime is 413200224442121. The next prime is 413200224442139. The reversal of 413200224442134 is 431244422002314.

413200224442134 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 0 + 0 + 224 + 4 + 421 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413200224442139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069139639 + ... + 2069339325.

It is an arithmetic number, because the mean of its divisors is an integer number (9770473846224).

Almost surely, 2^{413200224442134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413200224442134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468982744618752).

413200224442134 is an abundant number, since it is smaller than the sum of its proper divisors (524765264795370).

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

413200224442134 is a wasteful number, since it uses less digits than its factorization.

413200224442134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219882 (or 219879 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 413200224442134 its reverse (431244422002314), we get a palindrome (844444646444448).

The spelling of 413200224442134 in words is "four hundred thirteen trillion, two hundred billion, two hundred twenty-four million, four hundred forty-two thousand, one hundred thirty-four".