2021340241440 has 144 divisors (see below), whose sum is σ = 7428425456088. Its totient is φ = 497560670208.

The previous prime is 2021340241439. The next prime is 2021340241441. The reversal of 2021340241440 is 441420431202.

2021340241440 is a `hidden beast` number, since 2 + 0 + 213 + 4 + 0 + 2 + 4 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2021340241439) and next prime (2021340241441).

It can be written as a sum of positive squares in 4 ways, for example, as 1314388875024 + 706951366416 = 1146468^2 + 840804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2021340241441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53970069 + ... + 54007508.

Almost surely, 2^{2021340241440} is an apocalyptic number.

2021340241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021340241440 is an abundant number, since it is smaller than the sum of its proper divisors (5407085214648).

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

2021340241440 is a wasteful number, since it uses less digits than its factorization.

2021340241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107977611 (or 107977600 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2021340241440 its reverse (441420431202), we get a palindrome (2462760672642).

The spelling of 2021340241440 in words is "two trillion, twenty-one billion, three hundred forty million, two hundred forty-one thousand, four hundred forty".