214041120 has 96 divisors (see below), whose sum is σ = 680581440. Its totient is φ = 56540160.

The previous prime is 214041109. The next prime is 214041127. The reversal of 214041120 is 21140412.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214041120.

It is not an unprimeable number, because it can be changed into a prime (214041127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50275 + ... + 54365.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^214041120 is an apocalyptic number.

214041120 is a gapful number since it is divisible by the number (20) 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 214041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

214041120 is an abundant number, since it is smaller than the sum of its proper divisors (466540320).

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

214041120 is a wasteful number, since it uses less digits than its factorization.

214041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214041120 is about 14630.1442234860. The cubic root of 214041120 is about 598.1807114463.

Adding to 214041120 its reverse (21140412), we get a palindrome (235181532).

The spelling of 214041120 in words is "two hundred fourteen million, forty-one thousand, one hundred twenty".