214401441413320 has 48 divisors (see below), whose sum is σ = 561162956357340. Its totient is φ = 73509065626752.

The previous prime is 214401441413311. The next prime is 214401441413377. The reversal of 214401441413320 is 23314144104412.

214401441413320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181804718316004 + 32596723097316 = 13483498^2 + 5709354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54694243299 + ... + 54694247218.

Almost surely, 2^{214401441413320} is an apocalyptic number.

214401441413320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214401441413320 is an abundant number, since it is smaller than the sum of its proper divisors (346761514944020).

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

214401441413320 is a wasteful number, since it uses less digits than its factorization.

214401441413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109388490542 (or 109388490531 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 214401441413320 its reverse (23314144104412), we get a palindrome (237715585517732).

The spelling of 214401441413320 in words is "two hundred fourteen trillion, four hundred one billion, four hundred forty-one million, four hundred thirteen thousand, three hundred twenty".