441364505463144 has 64 divisors (see below), whose sum is σ = 1231413451502400. Its totient is φ = 146473389461952.

The previous prime is 441364505463041. The next prime is 441364505463163.

441364505463144 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 6 + 4 + 50 + 546 + 3 + 1 + 44 = 666.

441364505463144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500731127 + ... + 4500829190.

It is an arithmetic number, because the mean of its divisors is an integer number (19240835179725).

Almost surely, 2^{441364505463144} is an apocalyptic number.

It is an amenable number.

441364505463144 is an abundant number, since it is smaller than the sum of its proper divisors (790048946039256).

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

441364505463144 is a wasteful number, since it uses less digits than its factorization.

441364505463144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001560559 (or 9001560549 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

It can be divided in two parts, 44136450 and 5463144, that added together give a palindrome (49599594).

The spelling of 441364505463144 in words is "four hundred forty-one trillion, three hundred sixty-four billion, five hundred five million, four hundred sixty-three thousand, one hundred forty-four".