2114041324320 has 288 divisors, whose sum is σ = 7494222363264. Its totient is φ = 542247014400.

The previous prime is 2114041324267. The next prime is 2114041324429. The reversal of 2114041324320 is 234231404112.

2114041324320 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 413 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3939679 + ... + 4444001.

It is an arithmetic number, because the mean of its divisors is an integer number (26021605428).

Almost surely, 2^{2114041324320} is an apocalyptic number.

2114041324320 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 2114041324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747111181632).

2114041324320 is an abundant number, since it is smaller than the sum of its proper divisors (5380181038944).

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

2114041324320 is a wasteful number, since it uses less digits than its factorization.

2114041324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504456 (or 504445 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2114041324320 its reverse (234231404112), we get a palindrome (2348272728432).

The spelling of 2114041324320 in words is "two trillion, one hundred fourteen billion, forty-one million, three hundred twenty-four thousand, three hundred twenty".