1300420040320 has 32 divisors (see below), whose sum is σ = 3108816660420. Its totient is φ = 520168015872.

The previous prime is 1300420040299. The next prime is 1300420040341. The reversal of 1300420040320 is 230400240031.

It is an interprime number because it is at equal distance from previous prime (1300420040299) and next prime (1300420040341).

It can be written as a sum of positive squares in 2 ways, for example, as 1237771952704 + 62648087616 = 1112552^2 + 250296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1015952517 + ... + 1015953796.

Almost surely, 2^{1300420040320} is an apocalyptic number.

1300420040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300420040320 is an abundant number, since it is smaller than the sum of its proper divisors (1808396620100).

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

1300420040320 is an equidigital number, since it uses as much as digits as its factorization.

1300420040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031906332 (or 2031906320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 1300420040320 its reverse (230400240031), we get a palindrome (1530820280351).

The spelling of 1300420040320 in words is "one trillion, three hundred billion, four hundred twenty million, forty thousand, three hundred twenty".