441400014 has 72 divisors (see below), whose sum is σ = 1077070176. Its totient is φ = 130468800.

The previous prime is 441400007. The next prime is 441400027. The reversal of 441400014 is 410004144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 441400014.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 86827 + ... + 91769.

It is an arithmetic number, because the mean of its divisors is an integer number (14959308).

Almost surely, 2^441400014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441400014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538535088).

441400014 is an abundant number, since it is smaller than the sum of its proper divisors (635670162).

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

441400014 is a wasteful number, since it uses less digits than its factorization.

441400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441400014 is about 21009.5219840909. The cubic root of 441400014 is about 761.3963330199.

Adding to 441400014 its reverse (410004144), we get a palindrome (851404158).

It can be divided in two parts, 44 and 1400014, that multiplied together give a palindrome (61600616).

The spelling of 441400014 in words is "four hundred forty-one million, four hundred thousand, fourteen".