214320440520 has 48 divisors (see below), whose sum is σ = 696541432860. Its totient is φ = 57152117376.

The previous prime is 214320440473. The next prime is 214320440527. The reversal of 214320440520 is 25044023412.

214320440520 is a `hidden beast` number, since 214 + 3 + 2 + 0 + 440 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 210995072964 + 3325367556 = 459342^2 + 57666^2 .

It is a super-3 number, since 3×214320440520³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214320440527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297666919 + ... + 297667638.

Almost surely, 2^214320440520 is an apocalyptic number.

214320440520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214320440520 is an abundant number, since it is smaller than the sum of its proper divisors (482220992340).

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

214320440520 is a wasteful number, since it uses less digits than its factorization.

214320440520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595334574 (or 595334567 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 214320440520 its reverse (25044023412), we get a palindrome (239364463932).

The spelling of 214320440520 in words is "two hundred fourteen billion, three hundred twenty million, four hundred forty thousand, five hundred twenty".