441353362114401 has 8 divisors (see below), whose sum is σ = 641968526711904. Its totient is φ = 267486886129920.

The previous prime is 441353362114369. The next prime is 441353362114403. The reversal of 441353362114401 is 104411263353144.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 441353362114401 - 2⁵ = 441353362114369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441353362114403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6687172153216 + ... + 6687172153281.

It is an arithmetic number, because the mean of its divisors is an integer number (80246065838988).

Almost surely, 2^{441353362114401} is an apocalyptic number.

It is an amenable number.

441353362114401 is a deficient number, since it is larger than the sum of its proper divisors (200615164597503).

441353362114401 is a wasteful number, since it uses less digits than its factorization.

441353362114401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374344306511.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 441353362114401 in words is "four hundred forty-one trillion, three hundred fifty-three billion, three hundred sixty-two million, one hundred fourteen thousand, four hundred one".