214441003104 has 96 divisors (see below), whose sum is σ = 565814430720. Its totient is φ = 71111665152.

The previous prime is 214441003061. The next prime is 214441003123. The reversal of 214441003104 is 401300144412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 46645734 + ... + 46650330.

It is an arithmetic number, because the mean of its divisors is an integer number (5893900320).

Almost surely, 2^214441003104 is an apocalyptic number.

214441003104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214441003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282907215360).

214441003104 is an abundant number, since it is smaller than the sum of its proper divisors (351373427616).

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

214441003104 is a wasteful number, since it uses less digits than its factorization.

214441003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214441003104 its reverse (401300144412), we get a palindrome (615741147516).

The spelling of 214441003104 in words is "two hundred fourteen billion, four hundred forty-one million, three thousand, one hundred four".