413244321245106 has 128 divisors (see below), whose sum is σ = 929138887563264. Its totient is φ = 121689018746880.

The previous prime is 413244321245047. The next prime is 413244321245177. The reversal of 413244321245106 is 601542123442314.

It is a super-2 number, since 2×413244321245106² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985058911 + ... + 985478333.

It is an arithmetic number, because the mean of its divisors is an integer number (7258897559088).

Almost surely, 2^{413244321245106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413244321245106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464569443781632).

413244321245106 is an abundant number, since it is smaller than the sum of its proper divisors (515894566318158).

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

413244321245106 is a wasteful number, since it uses less digits than its factorization.

413244321245106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425348.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 413244321245106 in words is "four hundred thirteen trillion, two hundred forty-four billion, three hundred twenty-one million, two hundred forty-five thousand, one hundred six".