441414101 has 8 divisors (see below), whose sum is σ = 446779800. Its totient is φ = 436057600.

The previous prime is 441414097. The next prime is 441414109. The reversal of 441414101 is 101414144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 372100 + 441042001 = 610^2 + 21001^2 .

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 441414101 - 2² = 441414097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441414109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167885 + ... + 170493.

It is an arithmetic number, because the mean of its divisors is an integer number (55847475).

Almost surely, 2^441414101 is an apocalyptic number.

It is an amenable number.

441414101 is a deficient number, since it is larger than the sum of its proper divisors (5365699).

441414101 is a wasteful number, since it uses less digits than its factorization.

441414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 441414101 is about 21009.8572341651. The cubic root of 441414101 is about 761.4044327599.

Adding to 441414101 its reverse (101414144), we get a palindrome (542828245).

The spelling of 441414101 in words is "four hundred forty-one million, four hundred fourteen thousand, one hundred one".