413441112100 has 72 divisors (see below), whose sum is σ = 914724657000. Its totient is φ = 162144353280.

The previous prime is 413441112067. The next prime is 413441112101. The reversal of 413441112100 is 1211144314.

It can be written as a sum of positive squares in 12 ways, for example, as 117452885796 + 295988226304 = 342714^2 + 544048^2 .

It is not an unprimeable number, because it can be changed into a prime (413441112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7886776 + ... + 7939024.

It is an arithmetic number, because the mean of its divisors is an integer number (12704509125).

Almost surely, 2^413441112100 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 413441112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457362328500).

413441112100 is an abundant number, since it is smaller than the sum of its proper divisors (501283544900).

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

413441112100 is a wasteful number, since it uses less digits than its factorization.

413441112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53809 (or 53802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 413441112100 its reverse (1211144314), we get a palindrome (414652256414).

The spelling of 413441112100 in words is "four hundred thirteen billion, four hundred forty-one million, one hundred twelve thousand, one hundred".