2121440334144 has 112 divisors (see below), whose sum is σ = 5711829811776. Its totient is φ = 694799872000.

The previous prime is 2121440334133. The next prime is 2121440334179. The reversal of 2121440334144 is 4414330441212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122804 + ... + 2957900.

Almost surely, 2^{2121440334144} is an apocalyptic number.

2121440334144 is a gapful number since it is divisible by the number (24) 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 2121440334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855914905888).

2121440334144 is an abundant number, since it is smaller than the sum of its proper divisors (3590389477632).

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

2121440334144 is a wasteful number, since it uses less digits than its factorization.

2121440334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835344 (or 835334 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 2121440334144 its reverse (4414330441212), we get a palindrome (6535770775356).

The spelling of 2121440334144 in words is "two trillion, one hundred twenty-one billion, four hundred forty million, three hundred thirty-four thousand, one hundred forty-four".