214304441120 has 192 divisors, whose sum is σ = 644656029696. Its totient is φ = 65374817280.

The previous prime is 214304441119. The next prime is 214304441123. The reversal of 214304441120 is 21144403412.

It is a self number, because there is not a number n which added to its sum of digits gives 214304441120.

It is not an unprimeable number, because it can be changed into a prime (214304441123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393989 + ... + 764091.

It is an arithmetic number, because the mean of its divisors is an integer number (3357583488).

Almost surely, 2^214304441120 is an apocalyptic number.

214304441120 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 214304441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322328014848).

214304441120 is an abundant number, since it is smaller than the sum of its proper divisors (430351588576).

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

214304441120 is a wasteful number, since it uses less digits than its factorization.

214304441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370183 (or 370175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 214304441120 its reverse (21144403412), we get a palindrome (235448844532).

The spelling of 214304441120 in words is "two hundred fourteen billion, three hundred four million, four hundred forty-one thousand, one hundred twenty".