4146440310961 has 15 divisors (see below), whose sum is σ = 4492337744391. Its totient is φ = 3827165704128.

The previous prime is 4146440310931. The next prime is 4146440311003. The reversal of 4146440310961 is 1690130446414.

The square root of 4146440310961 is 2036281.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3986088117361 + 160352193600 = 1996519^2 + 400440^2 .

It is not a de Polignac number, because 4146440310961 - 2¹⁹ = 4146439786673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4146440310931) 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 in 14 ways as a sum of consecutive naturals, for example, 344125465 + ... + 344137513.

Almost surely, 2^{4146440310961} is an apocalyptic number.

4146440310961 is the 2036281-st square number.

4146440310961 is the 1018141-st centered octagonal number.

It is an amenable number.

4146440310961 is a deficient number, since it is larger than the sum of its proper divisors (345897433430).

4146440310961 is an frugal number, since it uses more digits than its factorization.

4146440310961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24150 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 4146440310961 in words is "four trillion, one hundred forty-six billion, four hundred forty million, three hundred ten thousand, nine hundred sixty-one".