441135603268152 has 768 divisors, whose sum is σ = 1277002208401920. Its totient is φ = 126153151488000.

The previous prime is 441135603268141. The next prime is 441135603268153. The reversal of 441135603268152 is 251862306531144.

It is a junction number, because it is equal to n+sod(n) for n = 441135603268095 and 441135603268104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441135603268153) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 232054498402 + ... + 232054500302.

It is an arithmetic number, because the mean of its divisors is an integer number (1662763292190).

Almost surely, 2^{441135603268152} 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 441135603268152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638501104200960).

441135603268152 is an abundant number, since it is smaller than the sum of its proper divisors (835866605133768).

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

441135603268152 is a wasteful number, since it uses less digits than its factorization.

441135603268152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

Adding to 441135603268152 its reverse (251862306531144), we get a palindrome (692997909799296).

The spelling of 441135603268152 in words is "four hundred forty-one trillion, one hundred thirty-five billion, six hundred three million, two hundred sixty-eight thousand, one hundred fifty-two".