214044200020 has 72 divisors (see below), whose sum is σ = 523491584616. Its totient is φ = 73300663296.

The previous prime is 214044200011. The next prime is 214044200039. The reversal of 214044200020 is 20002440412.

It can be written as a sum of positive squares in 4 ways, for example, as 133957464004 + 80086736016 = 366002^2 + 282996^2 .

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 23 ways as a sum of consecutive naturals, for example, 712432 + ... + 967288.

It is an arithmetic number, because the mean of its divisors is an integer number (7270716453).

Almost surely, 2^214044200020 is an apocalyptic number.

214044200020 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 214044200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261745792308).

214044200020 is an abundant number, since it is smaller than the sum of its proper divisors (309447384596).

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

214044200020 is a wasteful number, since it uses less digits than its factorization.

214044200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255737 (or 255728 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 214044200020 its reverse (20002440412), we get a palindrome (234046640432).

The spelling of 214044200020 in words is "two hundred fourteen billion, forty-four million, two hundred thousand, twenty".