1006468426441 has 9 divisors (see below), whose sum is σ = 1031657330613. Its totient is φ = 981880286880.

The previous prime is 1006468426429. The next prime is 1006468426477. The reversal of 1006468426441 is 1446248646001.

The square root of 1006468426441 is 1003229.

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

1006468426441 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 673747114041 + 332721312400 = 820821^2 + 576820^2 .

It is not a de Polignac number, because 1006468426441 - 2⁹ = 1006468425929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006468426391 and 1006468426400.

It is not an unprimeable number, because it can be changed into a prime (1006468426841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41120155 + ... + 41144623.

Almost surely, 2^{1006468426441} is an apocalyptic number.

1006468426441 is the 1003229-th square number.

1006468426441 is the 501615-th centered octagonal number.

It is an amenable number.

1006468426441 is a deficient number, since it is larger than the sum of its proper divisors (25188904172).

1006468426441 is an frugal number, since it uses more digits than its factorization.

1006468426441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49020 (or 24510 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 1006468426441 in words is "one trillion, six billion, four hundred sixty-eight million, four hundred twenty-six thousand, four hundred forty-one".