214320200400020 has 144 divisors (see below), whose sum is σ = 533002189543824. Its totient is φ = 71907233587200.

The previous prime is 214320200399993. The next prime is 214320200400023. The reversal of 214320200400020 is 20004002023412.

It can be written as a sum of positive squares in 8 ways, for example, as 8208064560784 + 206112135839236 = 2864972^2 + 14356606^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214320200399965 and 214320200400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214320200400023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68339012 + ... + 71406308.

Almost surely, 2^{214320200400020} is an apocalyptic number.

214320200400020 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 214320200400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266501094771912).

214320200400020 is an abundant number, since it is smaller than the sum of its proper divisors (318681989143804).

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

214320200400020 is a wasteful number, since it uses less digits than its factorization.

214320200400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069562 (or 3069549 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 214320200400020 its reverse (20004002023412), we get a palindrome (234324202423432).

The spelling of 214320200400020 in words is "two hundred fourteen trillion, three hundred twenty billion, two hundred million, four hundred thousand, twenty".