1305540422144 has 80 divisors (see below), whose sum is σ = 3001187376000. Its totient is φ = 555761946624.

The previous prime is 1305540422111. The next prime is 1305540422149. The reversal of 1305540422144 is 4412240455031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1305540422149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688364 + ... + 1756395.

It is an arithmetic number, because the mean of its divisors is an integer number (37514842200).

Almost surely, 2^{1305540422144} is an apocalyptic number.

1305540422144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1305540422144 is an abundant number, since it is smaller than the sum of its proper divisors (1695646953856).

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

1305540422144 is an equidigital number, since it uses as much as digits as its factorization.

1305540422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444933 (or 2444917 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1305540422144 its reverse (4412240455031), we get a palindrome (5717780877175).

The spelling of 1305540422144 in words is "one trillion, three hundred five billion, five hundred forty million, four hundred twenty-two thousand, one hundred forty-four".