441627666726144 has 144 divisors (see below), whose sum is σ = 1216368537088320. Its totient is φ = 142078711971840.

The previous prime is 441627666726139. The next prime is 441627666726157.

441627666726144 is nontrivially palindromic in base 10.

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, 54497359 + ... + 62074289.

It is an arithmetic number, because the mean of its divisors is an integer number (8447003729780).

Almost surely, 2^{441627666726144} 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 441627666726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608184268544160).

441627666726144 is an abundant number, since it is smaller than the sum of its proper divisors (774740870362176).

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

441627666726144 is a wasteful number, since it uses less digits than its factorization.

441627666726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579596 (or 7579582 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 66.

The spelling of 441627666726144 in words is "four hundred forty-one trillion, six hundred twenty-seven billion, six hundred sixty-six million, seven hundred twenty-six thousand, one hundred forty-four".