441030413131140 has 192 divisors, whose sum is σ = 1415759215288320. Its totient is φ = 100488655587840.

The previous prime is 441030413131093. The next prime is 441030413131153. The reversal of 441030413131140 is 41131314030144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 441030413131098 and 441030413131107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205271845 + ... + 207409235.

It is an arithmetic number, because the mean of its divisors is an integer number (7373745912960).

Almost surely, 2^{441030413131140} 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 441030413131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707879607644160).

441030413131140 is an abundant number, since it is smaller than the sum of its proper divisors (974728802157180).

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

441030413131140 is a wasteful number, since it uses less digits than its factorization.

441030413131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138962 (or 2138960 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 441030413131140 its reverse (41131314030144), we get a palindrome (482161727161284).

The spelling of 441030413131140 in words is "four hundred forty-one trillion, thirty billion, four hundred thirteen million, one hundred thirty-one thousand, one hundred forty".