1078438633441 has 81 divisors (see below), whose sum is σ = 1285061665419. Its totient is φ = 904423822848.

The previous prime is 1078438633439. The next prime is 1078438633457. The reversal of 1078438633441 is 1443368348701.

The square root of 1078438633441 is 1038479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 183719390625 + 894719242816 = 428625^2 + 945896^2 .

It is not a de Polignac number, because 1078438633441 - 2¹ = 1078438633439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1078438633421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8491642720 + ... + 8491642846.

Almost surely, 2^{1078438633441} is an apocalyptic number.

1078438633441 is the 1038479-th square number.

1078438633441 is the 519240-th centered octagonal number.

It is an amenable number.

1078438633441 is a deficient number, since it is larger than the sum of its proper divisors (206623031978).

1078438633441 is an equidigital number, since it uses as much as digits as its factorization.

1078438633441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 1078438633441 in words is "one trillion, seventy-eight billion, four hundred thirty-eight million, six hundred thirty-three thousand, four hundred forty-one".