413111340444 has 192 divisors, whose sum is σ = 1138041031680. Its totient is φ = 115315200000.

The previous prime is 413111340371. The next prime is 413111340449. The reversal of 413111340444 is 444043111314.

413111340444 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413111340449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35299794 + ... + 35311494.

It is an arithmetic number, because the mean of its divisors is an integer number (5927297040).

Almost surely, 2^413111340444 is an apocalyptic number.

413111340444 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 413111340444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569020515840).

413111340444 is an abundant number, since it is smaller than the sum of its proper divisors (724929691236).

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

413111340444 is a wasteful number, since it uses less digits than its factorization.

413111340444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 413111340444 its reverse (444043111314), we get a palindrome (857154451758).

The spelling of 413111340444 in words is "four hundred thirteen billion, one hundred eleven million, three hundred forty thousand, four hundred forty-four".