214444423120 has 80 divisors (see below), whose sum is σ = 519541367760. Its totient is φ = 82215268352.

The previous prime is 214444423111. The next prime is 214444423121. The reversal of 214444423120 is 21324444412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6676197264 + 207768225856 = 81708^2 + 455816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214444423121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19507 + ... + 655186.

It is an arithmetic number, because the mean of its divisors is an integer number (6494267097).

Almost surely, 2^214444423120 is an apocalyptic number.

214444423120 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 214444423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259770683880).

214444423120 is an abundant number, since it is smaller than the sum of its proper divisors (305096944640).

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

214444423120 is a wasteful number, since it uses less digits than its factorization.

214444423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674872 (or 674866 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 214444423120 its reverse (21324444412), we get a palindrome (235768867532).

The spelling of 214444423120 in words is "two hundred fourteen billion, four hundred forty-four million, four hundred twenty-three thousand, one hundred twenty".