441334814401 has 8 divisors (see below), whose sum is σ = 476127852480. Its totient is φ = 406662377232.

The previous prime is 441334814399. The next prime is 441334814407. The reversal of 441334814401 is 104418433144.

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

It is a cyclic number.

It is not a de Polignac number, because 441334814401 - 2¹ = 441334814399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441334814407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30142621 + ... + 30157258.

It is an arithmetic number, because the mean of its divisors is an integer number (59515981560).

Almost surely, 2^441334814401 is an apocalyptic number.

It is an amenable number.

441334814401 is a deficient number, since it is larger than the sum of its proper divisors (34793038079).

441334814401 is a wasteful number, since it uses less digits than its factorization.

441334814401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60300455.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 441334814401 in words is "four hundred forty-one billion, three hundred thirty-four million, eight hundred fourteen thousand, four hundred one".