441234303432144 has 80 divisors (see below), whose sum is σ = 1232275982652480. Its totient is φ = 135571279564800.

The previous prime is 441234303432119. The next prime is 441234303432193.

441234303432144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441234303432096 and 441234303432105.

It is a congruent number.

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, 6537933057 + ... + 6538000544.

It is an arithmetic number, because the mean of its divisors is an integer number (15403449783156).

Almost surely, 2^{441234303432144} is an apocalyptic number.

It is an amenable number.

441234303432144 is an abundant number, since it is smaller than the sum of its proper divisors (791041679220336).

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

441234303432144 is a wasteful number, since it uses less digits than its factorization.

441234303432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075933668 (or 13075933662 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 44123430 and 3432144, that added together give a palindrome (47555574).

The spelling of 441234303432144 in words is "four hundred forty-one trillion, two hundred thirty-four billion, three hundred three million, four hundred thirty-two thousand, one hundred forty-four".