1020412442440 has 32 divisors (see below), whose sum is σ = 2430982585080. Its totient is φ = 384155272192.

The previous prime is 1020412442417. The next prime is 1020412442443. The reversal of 1020412442440 is 442442140201.

It is a happy number.

1020412442440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 990984412324 + 29428030116 = 995482^2 + 171546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020412442399 and 1020412442408.

It is not an unprimeable number, because it can be changed into a prime (1020412442443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750302587 + ... + 750303946.

Almost surely, 2^{1020412442440} is an apocalyptic number.

1020412442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020412442440 is an abundant number, since it is smaller than the sum of its proper divisors (1410570142640).

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

1020412442440 is a wasteful number, since it uses less digits than its factorization.

1020412442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500606561 (or 1500606557 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1020412442440 its reverse (442442140201), we get a palindrome (1462854582641).

The spelling of 1020412442440 in words is "one trillion, twenty billion, four hundred twelve million, four hundred forty-two thousand, four hundred forty".