2121440442144 has 96 divisors (see below), whose sum is σ = 5593411998720. Its totient is φ = 704024582400.

The previous prime is 2121440442139. The next prime is 2121440442151. The reversal of 2121440442144 is 4412440441212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2121440442144² (a number of 25 digits) contains 22 as substring.

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, 25006839 + ... + 25091529.

It is an arithmetic number, because the mean of its divisors is an integer number (58264708320).

Almost surely, 2^{2121440442144} is an apocalyptic number.

2121440442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121440442144 is an abundant number, since it is smaller than the sum of its proper divisors (3471971556576).

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

2121440442144 is a wasteful number, since it uses less digits than its factorization.

2121440442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85854 (or 85846 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 2121440442144 its reverse (4412440441212), we get a palindrome (6533880883356).

The spelling of 2121440442144 in words is "two trillion, one hundred twenty-one billion, four hundred forty million, four hundred forty-two thousand, one hundred forty-four".