10406081441 has 12 divisors (see below), whose sum is σ = 12127439700. Its totient is φ = 8902988640.

The previous prime is 10406081431. The next prime is 10406081447. The reversal of 10406081441 is 14418060401.

It can be written as a sum of positive squares in 2 ways, for example, as 6345715600 + 4060365841 = 79660^2 + 63721^2 .

It is not a de Polignac number, because 10406081441 - 2²⁶ = 10338972577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10406081447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169766 + ... + 222783.

It is an arithmetic number, because the mean of its divisors is an integer number (1010619975).

Almost surely, 2^10406081441 is an apocalyptic number.

It is an amenable number.

10406081441 is a deficient number, since it is larger than the sum of its proper divisors (1721358259).

10406081441 is an equidigital number, since it uses as much as digits as its factorization.

10406081441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393104 (or 393097 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 10406081441 in words is "ten billion, four hundred six million, eighty-one thousand, four hundred forty-one".