1020045130240 has 80 divisors (see below), whose sum is σ = 2589583432392. Its totient is φ = 384016973824.

The previous prime is 1020045130231. The next prime is 1020045130241. The reversal of 1020045130240 is 420315400201.

It can be written as a sum of positive squares in 4 ways, for example, as 1016354324736 + 3690805504 = 1008144^2 + 60752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1020045130241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11675749 + ... + 11762788.

Almost surely, 2^{1020045130240} is an apocalyptic number.

1020045130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020045130240 is an abundant number, since it is smaller than the sum of its proper divisors (1569538302152).

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

1020045130240 is an equidigital number, since it uses as much as digits as its factorization.

1020045130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23438577 (or 23438561 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 1020045130240 in words is "one trillion, twenty billion, forty-five million, one hundred thirty thousand, two hundred forty".