441213262312144 has 160 divisors (see below), whose sum is σ = 1004600511452160. Its totient is φ = 183779153510400.

The previous prime is 441213262311989. The next prime is 441213262312159.

441213262312144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441213262312097 and 441213262312106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23137714642 + ... + 23137733710.

It is an arithmetic number, because the mean of its divisors is an integer number (6278753196576).

Almost surely, 2^{441213262312144} 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 441213262312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502300255726080).

441213262312144 is an abundant number, since it is smaller than the sum of its proper divisors (563387249140016).

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

441213262312144 is a wasteful number, since it uses less digits than its factorization.

441213262312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37989 (or 37983 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 441213262312144 in words is "four hundred forty-one trillion, two hundred thirteen billion, two hundred sixty-two million, three hundred twelve thousand, one hundred forty-four".