413313442412244 has 96 divisors (see below), whose sum is σ = 1056929484441600. Its totient is φ = 124668687360000.

The previous prime is 413313442412239. The next prime is 413313442412287. The reversal of 413313442412244 is 442214244313314.

It is a super-2 number, since 2×413313442412244² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413313442412196 and 413313442412205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48507732 + ... + 56388180.

It is an arithmetic number, because the mean of its divisors is an integer number (11009682129600).

Almost surely, 2^{413313442412244} is an apocalyptic number.

413313442412244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413313442412244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528464742220800).

413313442412244 is an abundant number, since it is smaller than the sum of its proper divisors (643616042029356).

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

413313442412244 is a wasteful number, since it uses less digits than its factorization.

413313442412244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7882301 (or 7882299 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 413313442412244 its reverse (442214244313314), we get a palindrome (855527686725558).

The spelling of 413313442412244 in words is "four hundred thirteen trillion, three hundred thirteen billion, four hundred forty-two million, four hundred twelve thousand, two hundred forty-four".