1020440413 has 2 divisors, whose sum is σ = 1020440414. Its totient is φ = 1020440412.

The previous prime is 1020440401. The next prime is 1020440437. The reversal of 1020440413 is 3140440201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 874562329 + 145878084 = 29573^2 + 12078^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020440413 is a prime.

It is a super-2 number, since 2×1020440413² = 2082597272967221138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020440483) 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 as a sum of consecutive naturals, namely, 510220206 + 510220207.

It is an arithmetic number, because the mean of its divisors is an integer number (510220207).

Almost surely, 2^1020440413 is an apocalyptic number.

It is an amenable number.

1020440413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020440413 is an equidigital number, since it uses as much as digits as its factorization.

1020440413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1020440413 is about 31944.3330342019. Note that the first 3 decimals coincide. The cubic root of 1020440413 is about 1006.7675677092.

Adding to 1020440413 its reverse (3140440201), we get a palindrome (4160880614).

The spelling of 1020440413 in words is "one billion, twenty million, four hundred forty thousand, four hundred thirteen".