2121414231340 has 96 divisors (see below), whose sum is σ = 4608209700864. Its totient is φ = 819492871680.

The previous prime is 2121414231311. The next prime is 2121414231359. The reversal of 2121414231340 is 431324141212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121414231299 and 2121414231308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067645827 + ... + 1067647813.

It is an arithmetic number, because the mean of its divisors is an integer number (48002184384).

Almost surely, 2^{2121414231340} is an apocalyptic number.

2121414231340 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 2121414231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304104850432).

2121414231340 is an abundant number, since it is smaller than the sum of its proper divisors (2486795469524).

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

2121414231340 is a wasteful number, since it uses less digits than its factorization.

2121414231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2121414231340 its reverse (431324141212), we get a palindrome (2552738372552).

The spelling of 2121414231340 in words is "two trillion, one hundred twenty-one billion, four hundred fourteen million, two hundred thirty-one thousand, three hundred forty".