444231505132444 has 48 divisors (see below), whose sum is σ = 812049288019200. Its totient is φ = 212237552419200.

The previous prime is 444231505132399. The next prime is 444231505132543.

444231505132444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 444231505132394 and 444231505132403.

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, 1120752207 + ... + 1121148505.

It is an arithmetic number, because the mean of its divisors is an integer number (16917693500400).

Almost surely, 2^{444231505132444} is an apocalyptic number.

It is an amenable number.

444231505132444 is a deficient number, since it is larger than the sum of its proper divisors (367817782886756).

444231505132444 is a wasteful number, since it uses less digits than its factorization.

444231505132444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408970 (or 408968 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

It can be divided in two parts, 44423150 and 5132444, that added together give a palindrome (49555594).

The spelling of 444231505132444 in words is "four hundred forty-four trillion, two hundred thirty-one billion, five hundred five million, one hundred thirty-two thousand, four hundred forty-four".